{"id":"https://openalex.org/W1983730159","doi":"https://doi.org/10.1137/140963248","title":"A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems","display_name":"A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1983730159","doi":"https://doi.org/10.1137/140963248","mag":"1983730159"},"language":"en","primary_location":{"id":"doi:10.1137/140963248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140963248","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ruj.uj.edu.pl/xmlui/handle/item/3478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031753752","display_name":"Weimin Han","orcid":"https://orcid.org/0000-0002-0960-2281"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weimin Han","raw_affiliation_strings":["Department of Mathematics, University of Iowa,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Iowa,#TAB#","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082850653","display_name":"Stanis\u0142aw Mig\u00f3rski","orcid":"https://orcid.org/0000-0002-3299-9168"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Stanis\u0142aw Mig\u00f3rski","raw_affiliation_strings":["Institute of Computer Science [Krakow]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science [Krakow]","institution_ids":["https://openalex.org/I4210155092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028060890","display_name":"Mircea Sofonea","orcid":"https://orcid.org/0000-0002-6110-1433"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mircea Sofonea","raw_affiliation_strings":["LAboratoire de Math\u00e9matiques et PhySique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAboratoire de Math\u00e9matiques et PhySique","institution_ids":["https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0306,"has_fulltext":false,"cited_by_count":172,"citation_normalized_percentile":{"value":0.9782423,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"46","issue":"6","first_page":"3891","last_page":"3912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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":0.9998999834060669,"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/T12252","display_name":"Mechanical stress and fatigue analysis","score":0.9994000196456909,"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/T12197","display_name":"Brake Systems and Friction Analysis","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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":0.8817921876907349},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.794566810131073},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6252591609954834},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6038488149642944},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5751960873603821},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5498754978179932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5278534889221191},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5116713047027588},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5011646747589111},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4731253981590271},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4679851531982422},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4362652599811554},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.21761423349380493},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10235580801963806}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8817921876907349},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.794566810131073},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6252591609954834},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6038488149642944},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5751960873603821},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5498754978179932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5278534889221191},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5116713047027588},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5011646747589111},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4731253981590271},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4679851531982422},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4362652599811554},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.21761423349380493},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10235580801963806},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/140963248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140963248","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/3478","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/3478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},{"id":"pmh:oai:HAL:hal-01142712v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01142712","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2014, 46 (6), pp.3891-3912. ⟨10.1137/140963248⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/3478","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/3478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W178448309","https://openalex.org/W595988353","https://openalex.org/W606230067","https://openalex.org/W634377812","https://openalex.org/W641727423","https://openalex.org/W1460080534","https://openalex.org/W1490112587","https://openalex.org/W1516681311","https://openalex.org/W1518297095","https://openalex.org/W1518792628","https://openalex.org/W1520204308","https://openalex.org/W1543326485","https://openalex.org/W1551360398","https://openalex.org/W1601892042","https://openalex.org/W1953994949","https://openalex.org/W1967077838","https://openalex.org/W1987700684","https://openalex.org/W1994072529","https://openalex.org/W2004326643","https://openalex.org/W2041523977","https://openalex.org/W2058567087","https://openalex.org/W2061629013","https://openalex.org/W2101340781","https://openalex.org/W2484453099","https://openalex.org/W2490228683","https://openalex.org/W2494236341","https://openalex.org/W2985272081"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W4302167439"],"abstract_inverted_index":{"A":[0],"class":[1,14],"of":[2,23,40,45,61,71,98],"variational-hemivariational":[3,92],"inequalities":[4],"is":[5,28,35,51,54,67,70],"studied":[6],"in":[7,12,95],"this":[8],"paper.":[9],"An":[10,30,64],"inequality":[11,93],"the":[13,41,46,49,62,75,86,96],"involves":[15],"two":[16,20],"nonlinear":[17],"operators":[18],"and":[19,32],"nondifferentiable":[21],"functionals,":[22],"which":[24,69],"at":[25],"least":[26],"one":[27],"convex.":[29],"existence":[31],"uniqueness":[33],"result":[34],"proved":[36],"for":[37,57,74],"a":[38,91],"solution":[39,47,82],"inequality.":[42,63],"Continuous":[43],"dependence":[44],"on":[48],"data":[50],"shown.":[52],"Convergence":[53],"established":[55],"rigorously":[56],"finite":[58,77],"element":[59,78],"solutions":[60],"error":[65],"estimate":[66],"derived":[68],"optimal":[72],"order":[73],"linear":[76],"method":[79],"under":[80],"appropriate":[81],"regularity":[83],"assumptions.":[84],"Finally,":[85],"results":[87],"are":[88],"applied":[89],"to":[90],"arising":[94],"study":[97],"some":[99],"frictional":[100],"contact":[101],"problems.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}