{"id":"https://openalex.org/W2372686563","doi":null,"title":"The Comparison Principle for Viscosity Solutions of the Neumann Problems of the Fully Nonlinear Monotone Second-order Elliptic Systems","display_name":"The Comparison Principle for Viscosity Solutions of the Neumann Problems of the Fully Nonlinear Monotone Second-order Elliptic Systems","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2372686563","mag":"2372686563"},"language":"en","primary_location":{"id":"mag:2372686563","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SCSD200503012.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764781027","display_name":"Journal of Sichuan Normal University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283873","host_organization_name":"Sichuan Normal University","host_organization_lineage":["https://openalex.org/P4323283873"],"host_organization_lineage_names":["Sichuan Normal University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Sichuan Normal University","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2372686563"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056978775","display_name":"Wang Yuan-lun","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3130456415","display_name":"Mianyang Normal University","ror":"https://ror.org/02rka3n91","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130456415"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wang Yuan-lun","raw_affiliation_strings":["Department of Mathematics and Information Science, Mianyang Normal College, Mianyang 610066, Sichuan)\ue004"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science, Mianyang Normal College, Mianyang 610066, Sichuan)\ue004","institution_ids":["https://openalex.org/I3130456415"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056978775"],"corresponding_institution_ids":["https://openalex.org/I3130456415"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/comparison-principle","display_name":"comparison principle","score":0.9049999713897705},{"id":"https://openalex.org/keywords/viscosity-solutions","display_name":"viscosity solutions","score":0.9990000128746033},{"id":"https://openalex.org/keywords/neumann-problem","display_name":"Neumann problem","score":0.7310000061988831},{"id":"https://openalex.org/keywords/second-order-elliptic-equations","display_name":"second-order elliptic equations","score":0.8790000081062317},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.9110000133514404}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7807692289352417},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.780083417892456},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.6980635523796082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6663765907287598},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6631597876548767},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5786518454551697},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.53285151720047},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.5217862129211426},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.48474380373954773},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47274860739707947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4320610463619232},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10241761803627014},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0751115083694458},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2372686563","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SCSD200503012.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764781027","display_name":"Journal of Sichuan Normal University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283873","host_organization_name":"Sichuan Normal University","host_organization_lineage":["https://openalex.org/P4323283873"],"host_organization_lineage_names":["Sichuan Normal University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Sichuan Normal University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1544791142","https://openalex.org/W2380771968","https://openalex.org/W1997383967","https://openalex.org/W2004452669","https://openalex.org/W2383855603","https://openalex.org/W1970195958","https://openalex.org/W1992327075","https://openalex.org/W2149747548","https://openalex.org/W2351204554","https://openalex.org/W2011441506"],"abstract_inverted_index":{"Hitoshi":[0],"Ishii":[1],"and":[2,11,36],"Shigeaki":[3],"Koike":[4],"(Partial":[5],"Differential":[6],"Equations,1991,16:6\uff5e7.)":[7],"discussed":[8],"the":[9,14,18],"existence":[10],"uniqueness":[12],"for":[13,40],"viscosity":[15,41],"solutions":[16,42],"of":[17,31],"fully":[19],"nonlinear":[20],"monotone":[21],"second-order":[22],"elliptic":[23],"equations.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28],"extend":[29],"some":[30],"their":[32],"results":[33],"to":[34],"systems":[35],"prove":[37],"comparison":[38],"principle":[39],"in":[43],"systems.\ue004":[44]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}