{"id":"https://openalex.org/W2070277012","doi":"https://doi.org/10.1155/2012/712306","title":"Well\u2010Posedness for a Class of Strongly Mixed Variational\u2010Hemivariational Inequalities with Perturbations","display_name":"Well\u2010Posedness for a Class of Strongly Mixed Variational\u2010Hemivariational Inequalities with Perturbations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2070277012","doi":"https://doi.org/10.1155/2012/712306","mag":"2070277012"},"language":"en","primary_location":{"id":"doi:10.1155/2012/712306","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/712306","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/712306.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/712306.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057777350","display_name":"Lu-Chuan Ceng","orcid":"https://orcid.org/0000-0003-3730-1475"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]},{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu-Chuan Ceng","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, China","Scientific Computing Key Laboratory, Shanghai Universities, Shanghai 200234, China","Scientific Computing Key Laboratory, Shanghai Universities, Shanghai 200234","Department of Mathematics, Shanghai Normal University, Shanghai 200234"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Scientific Computing Key Laboratory, Shanghai Universities, Shanghai 200234, China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Scientific Computing Key Laboratory, Shanghai Universities, Shanghai 200234","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058667655","display_name":"Ngai\u2010Ching Wong","orcid":"https://orcid.org/0000-0002-1445-5335"},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ngai-Ching Wong","raw_affiliation_strings":["Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan","Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101743548","display_name":"Jen-Chih Yao","orcid":"https://orcid.org/0000-0002-0855-4097"},"institutions":[{"id":"https://openalex.org/I152743029","display_name":"Kaohsiung Medical University","ror":"https://ror.org/03gk81f96","country_code":"TW","type":"education","lineage":["https://openalex.org/I152743029"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jen-Chih Yao","raw_affiliation_strings":["Center for General Education, Kaohsiung Medical University, Kaohsiung 80708, Taiwan","Center for General Education, Kaohsiung Medical University, Kaohsiung 80708"],"affiliations":[{"raw_affiliation_string":"Center for General Education, Kaohsiung Medical University, Kaohsiung 80708, Taiwan","institution_ids":["https://openalex.org/I152743029"]},{"raw_affiliation_string":"Center for General Education, Kaohsiung Medical University, Kaohsiung 80708","institution_ids":["https://openalex.org/I152743029"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058667655"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.0367,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.7793075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10842","display_name":"Railway Engineering and Dynamics","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8114050626754761},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6361308097839355},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5999036431312561},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5206536650657654},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4851863980293274},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4588300883769989},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4061998128890991},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25162023305892944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.046477049589157104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8114050626754761},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6361308097839355},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5999036431312561},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5206536650657654},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4851863980293274},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4588300883769989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4061998128890991},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25162023305892944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.046477049589157104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/712306","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/712306","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/712306.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1350479406","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1350479406","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.728.2773","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.728.2773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.nsysu.edu.tw/%7Ewong/papers/CWY-JAM-revised.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:hin:jnljam:712306","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/712306.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:828408bafd7b4d299577a43a562b77a0","is_oa":true,"landing_page_url":"https://doaj.org/article/828408bafd7b4d299577a43a562b77a0","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/712306","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/712306","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/712306.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1276829693","display_name":null,"funder_award_id":"Shanghai","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G1894159129","display_name":null,"funder_award_id":"99-2115-M-110-007-MY3","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G1900400710","display_name":null,"funder_award_id":"11071169","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2193127635","display_name":null,"funder_award_id":"DZL707","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2245438524","display_name":null,"funder_award_id":"11071169","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2292957736","display_name":null,"funder_award_id":"09ZZ133","funder_id":"https://openalex.org/F4320322374","funder_display_name":"Shanghai Normal University"},{"id":"https://openalex.org/G2618432299","display_name":null,"funder_award_id":"11071169","funder_id":"https://openalex.org/F4320322374","funder_display_name":"Shanghai Normal University"},{"id":"https://openalex.org/G2620542533","display_name":null,"funder_award_id":"11071169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G466865720","display_name":null,"funder_award_id":"DZL707","funder_id":"https://openalex.org/F4320322374","funder_display_name":"Shanghai Normal University"},{"id":"https://openalex.org/G5160110706","display_name":null,"funder_award_id":"DZL707","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G5598693027","display_name":null,"funder_award_id":"99-2115-M-110-007-MY3","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G5699417407","display_name":null,"funder_award_id":"11071169","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G6244130496","display_name":null,"funder_award_id":"09ZZ133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6408666932","display_name":null,"funder_award_id":"09ZZ133","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G645993645","display_name":null,"funder_award_id":"99-2115-M-110-007-MY3","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7836312792","display_name":null,"funder_award_id":"99-2221-E-037-007-MY3","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7880160387","display_name":null,"funder_award_id":"99-2221-E-037-007-MY3","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G7968559824","display_name":null,"funder_award_id":"09ZZ133","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8608318851","display_name":null,"funder_award_id":"99-2221-E-037-007-MY3","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G8734462285","display_name":null,"funder_award_id":"DZL707","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G8767833811","display_name":null,"funder_award_id":"09ZZ133","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G8893335933","display_name":null,"funder_award_id":"99-2221-E-037-007-MY3","funder_id":"https://openalex.org/F4320322374","funder_display_name":"Shanghai Normal University"},{"id":"https://openalex.org/G8924990144","display_name":null,"funder_award_id":"99-2115-M-110-007-MY3","funder_id":"https://openalex.org/F4320322374","funder_display_name":"Shanghai Normal University"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"},{"id":"https://openalex.org/F4320322374","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2070277012.pdf","grobid_xml":"https://content.openalex.org/works/W2070277012.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W90153116","https://openalex.org/W169540835","https://openalex.org/W595988353","https://openalex.org/W941550432","https://openalex.org/W1508764516","https://openalex.org/W1540131774","https://openalex.org/W1547403762","https://openalex.org/W1551360398","https://openalex.org/W1598473586","https://openalex.org/W1978614977","https://openalex.org/W1983570621","https://openalex.org/W1993962399","https://openalex.org/W1995037379","https://openalex.org/W1995070053","https://openalex.org/W2000667950","https://openalex.org/W2005551776","https://openalex.org/W2011269150","https://openalex.org/W2019821278","https://openalex.org/W2027085210","https://openalex.org/W2036838028","https://openalex.org/W2038829168","https://openalex.org/W2045545166","https://openalex.org/W2055572038","https://openalex.org/W2060903063","https://openalex.org/W2062422954","https://openalex.org/W2066551529","https://openalex.org/W2070540581","https://openalex.org/W2072534783","https://openalex.org/W2083322630","https://openalex.org/W2091185799","https://openalex.org/W2099998721","https://openalex.org/W2113980920","https://openalex.org/W2148944724","https://openalex.org/W2170387262","https://openalex.org/W2493323244","https://openalex.org/W2591782611","https://openalex.org/W4206111119","https://openalex.org/W4231882991","https://openalex.org/W4232082450","https://openalex.org/W4248253146","https://openalex.org/W7006859005"],"related_works":["https://openalex.org/W2047131671","https://openalex.org/W3007838749","https://openalex.org/W4287830728","https://openalex.org/W2181432034","https://openalex.org/W4237951173","https://openalex.org/W3097860111","https://openalex.org/W3123455607","https://openalex.org/W2905264121","https://openalex.org/W2138137818","https://openalex.org/W2959160600"],"abstract_inverted_index":{"The":[0],"concept":[1,13],"of":[2,14,19,34],"well\u2010posedness":[3,15,98],"for":[4,16,44,90,99],"a":[5,17,29,91],"minimization":[6],"problem":[7],"is":[8,62,74],"extended":[9],"to":[10],"develop":[11],"the":[12,32,45,57,66,70,84,87,97,100],"class":[18,33],"strongly":[20,47,58,63,92],"mixed":[21,48,59,93],"variational\u2010hemivariational":[22,35,49,60,94],"inequalities":[23,36],"with":[24,37],"perturbations":[25],"which":[26,56],"includes":[27],"as":[28],"special":[30],"case":[31],"perturbations.":[38],"We":[39],"establish":[40],"some":[41,53,79],"metric":[42],"characterizations":[43],"well\u2010posed":[46,64],"inequality":[50,61,95],"and":[51,96],"give":[52],"conditions":[54,81],"under":[55,78],"in":[65],"generalized":[67],"sense.":[68],"On":[69],"other":[71],"hand,":[72],"it":[73],"also":[75],"proven":[76],"that":[77],"mild":[80],"there":[82],"holds":[83],"equivalence":[85],"between":[86],"well":[88],"posedness":[89],"corresponding":[101],"inclusion":[102],"problem.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}