{"id":"https://openalex.org/W3127032040","doi":"https://doi.org/10.1515/ans-2021-2143","title":"Singular Finsler Double Phase Problems with Nonlinear Boundary Condition","display_name":"Singular Finsler Double Phase Problems with Nonlinear Boundary Condition","publication_year":2021,"publication_date":"2021-09-03","ids":{"openalex":"https://openalex.org/W3127032040","doi":"https://doi.org/10.1515/ans-2021-2143","mag":"3127032040"},"language":"en","primary_location":{"id":"doi:10.1515/ans-2021-2143","doi":"https://doi.org/10.1515/ans-2021-2143","is_oa":true,"landing_page_url":"https://doi.org/10.1515/ans-2021-2143","pdf_url":"https://www.degruyter.com/document/doi/10.1515/ans-2021-2143/pdf","source":{"id":"https://openalex.org/S207995962","display_name":"Advanced Nonlinear Studies","issn_l":"1536-1365","issn":["1536-1365","2169-0375"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Nonlinear Studies","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.1515/ans-2021-2143/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101721079","display_name":"Csaba Farkas","orcid":"https://orcid.org/0000-0002-1937-9036","observed_orcids":["https://orcid.org/0000-0002-1937-9036"]},"institutions":[{"id":"https://openalex.org/I43886","display_name":"Sapientia Hungarian University of Transylvania","ror":"https://ror.org/04ahh4d11","country_code":"RO","type":"education","lineage":["https://openalex.org/I43886"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Csaba Farkas","raw_affiliation_strings":["Department of Mathematics and Computer Science , Sapientia Hungarian University of Transylvania , T\u00e2rgu Mure\u015f , Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science , Sapientia Hungarian University of Transylvania , T\u00e2rgu Mure\u015f , Romania","institution_ids":["https://openalex.org/I43886"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008386861","display_name":"Alessio Fiscella","orcid":"https://orcid.org/0000-0001-6281-4040","observed_orcids":["https://orcid.org/0000-0001-6281-4040"]},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Alessio Fiscella","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Estadual de Campinas, IMECC, Rua S\u00e9rgio Buarque de Holanda, 651, Campinas, SP CEP 13083-859, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-6281-4040","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Estadual de Campinas, IMECC, Rua S\u00e9rgio Buarque de Holanda, 651, Campinas, SP CEP 13083-859, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068198772","display_name":"Patrick Winkert","orcid":"https://orcid.org/0000-0003-0320-7026","observed_orcids":["https://orcid.org/0000-0003-0320-7026"]},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Patrick Winkert","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623 Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0320-7026","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"EUR","value_usd":2366},"apc_paid":{"value":2000,"currency":"EUR","value_usd":2366},"fwci":4.1997,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.95473503,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"4","first_page":"809","last_page":"825"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9994999766349792,"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":0.9994999766349792,"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/T10545","display_name":"Optimization and Variational Analysis","score":9.999999747378752e-05,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0,"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/nonlinear-boundary-conditions","display_name":"nonlinear boundary conditions","score":0.9470000267028809},{"id":"https://openalex.org/keywords/weak-solutions","display_name":"weak solutions","score":0.8619999885559082},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8339999914169312},{"id":"https://openalex.org/keywords/finsler-manifolds","display_name":"Finsler manifolds","score":0.871999979019165},{"id":"https://openalex.org/keywords/truncation-method","display_name":"truncation method","score":0.7310000061988831},{"id":"https://openalex.org/keywords/variational-methods","display_name":"variational methods","score":0.7099999785423279}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7447219491004944},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6507529616355896},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6157647371292114},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5752165913581848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5730520486831665},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5603938698768616},{"id":"https://openalex.org/C169316501","wikidata":"https://www.wikidata.org/wiki/Q2498782","display_name":"Finsler manifold","level":4,"score":0.5439519882202148},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5346606969833374},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4270963668823242},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.42198559641838074},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.41398584842681885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11182180047035217},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08972233533859253},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06906655430793762},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.06405112147331238},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1515/ans-2021-2143","doi":"https://doi.org/10.1515/ans-2021-2143","is_oa":true,"landing_page_url":"https://doi.org/10.1515/ans-2021-2143","pdf_url":"https://www.degruyter.com/document/doi/10.1515/ans-2021-2143/pdf","source":{"id":"https://openalex.org/S207995962","display_name":"Advanced Nonlinear Studies","issn_l":"1536-1365","issn":["1536-1365","2169-0375"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Nonlinear Studies","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:151676","doi":null,"is_oa":false,"landing_page_url":"http://real.mtak.hu/151676/1/AdvNonStud.pdf","pdf_url":"http://real.mtak.hu/151676/1/AdvNonStud.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2102.05467","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.05467","pdf_url":"https://arxiv.org/pdf/2102.05467","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"mag:3127032040","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2102.05467.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:boa.unimib.it:10281/338150","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/338150","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:e3afcbef0f104e64a1392ea5a2a6cdf1","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/e3afcbef0f104e64a1392ea5a2a6cdf1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advanced Nonlinear Studies, Vol 21, Iss 4, Pp 809-825 (2021)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2102.05467","doi":"https://doi.org/10.48550/arxiv.2102.05467","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2102.05467","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1515/ans-2021-2143","doi":"https://doi.org/10.1515/ans-2021-2143","is_oa":true,"landing_page_url":"https://doi.org/10.1515/ans-2021-2143","pdf_url":"https://www.degruyter.com/document/doi/10.1515/ans-2021-2143/pdf","source":{"id":"https://openalex.org/S207995962","display_name":"Advanced Nonlinear Studies","issn_l":"1536-1365","issn":["1536-1365","2169-0375"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Nonlinear Studies","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1357645335","display_name":null,"funder_award_id":"2019-02512-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G281754592","display_name":null,"funder_award_id":"Prot_20191219\u2010143223\u2010545","funder_id":"https://openalex.org/F4320333369","funder_display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni"},{"id":"https://openalex.org/G295657101","display_name":null,"funder_award_id":"2019/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G4203900514","display_name":null,"funder_award_id":"3787749185990982","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5117100693","display_name":"Operator with non standard growth","funder_award_id":"19/23917-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6226496530","display_name":null,"funder_award_id":"Prot_20191219-143223-545","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G7012554890","display_name":null,"funder_award_id":"127926","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G7527859294","display_name":null,"funder_award_id":"2019/02512-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320329446","display_name":"Universitatea Sapientia","ror":"https://ror.org/04ahh4d11"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":"https://ror.org/02ktjph70"},{"id":"https://openalex.org/F4320335908","display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3127032040.pdf","grobid_xml":"https://content.openalex.org/works/W3127032040.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W1505414820","https://openalex.org/W1522722022","https://openalex.org/W1629529301","https://openalex.org/W1984255712","https://openalex.org/W1989248977","https://openalex.org/W1999398651","https://openalex.org/W2002826252","https://openalex.org/W2003501858","https://openalex.org/W2016695910","https://openalex.org/W2021204697","https://openalex.org/W2029667875","https://openalex.org/W2035525127","https://openalex.org/W2036912089","https://openalex.org/W2059869453","https://openalex.org/W2068839002","https://openalex.org/W2073968346","https://openalex.org/W2086183804","https://openalex.org/W2094833039","https://openalex.org/W2145130203","https://openalex.org/W2146172946","https://openalex.org/W2214056589","https://openalex.org/W2314641713","https://openalex.org/W2322504756","https://openalex.org/W2503301586","https://openalex.org/W2604720759","https://openalex.org/W2753092882","https://openalex.org/W2764303513","https://openalex.org/W2770450642","https://openalex.org/W2800526166","https://openalex.org/W2806648348","https://openalex.org/W2885074282","https://openalex.org/W2903054912","https://openalex.org/W2908814711","https://openalex.org/W2909780707","https://openalex.org/W2949012720","https://openalex.org/W2963338307","https://openalex.org/W2963865078","https://openalex.org/W2974604653","https://openalex.org/W2990826594","https://openalex.org/W2996068269","https://openalex.org/W3006879069","https://openalex.org/W3010239510","https://openalex.org/W3013260439","https://openalex.org/W3042368354","https://openalex.org/W3046155074","https://openalex.org/W3046644957","https://openalex.org/W3046768593","https://openalex.org/W3087247244","https://openalex.org/W3091122129","https://openalex.org/W3092422033","https://openalex.org/W3092716304","https://openalex.org/W3098849575","https://openalex.org/W3106335771","https://openalex.org/W3107648533","https://openalex.org/W3120203574","https://openalex.org/W3138436730","https://openalex.org/W3175153495","https://openalex.org/W3183588801","https://openalex.org/W3184067933","https://openalex.org/W4249303611","https://openalex.org/W4287641491","https://openalex.org/W6600529467","https://openalex.org/W6600573908"],"related_works":["https://openalex.org/W3106335771","https://openalex.org/W4376877374","https://openalex.org/W4312523704","https://openalex.org/W4322008862","https://openalex.org/W3042368354","https://openalex.org/W7139838709","https://openalex.org/W4313825837","https://openalex.org/W4405689830","https://openalex.org/W4404878368","https://openalex.org/W4396736029"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,50],"paper,":[3],"we":[4,39],"study":[5],"a":[6,13,21,77],"singular":[7,78],"Finsler":[8,62],"double":[9,79],"phase":[10,80],"problem":[11,51,81],"with":[12,36,76],"nonlinear":[14,83],"boundary":[15,84],"condition":[16],"and":[17,82],"perturbations":[18],"that":[19],"have":[20],"type":[22],"of":[23,43],"critical":[24],"growth,":[25],"even":[26],"on":[27,31],"the":[28,41,58,61,66,72],"boundary.":[29],"Based":[30],"variational":[32],"methods":[33],"in":[34,57],"combination":[35],"truncation":[37],"techniques,":[38],"prove":[40],"existence":[42],"at":[44],"least":[45],"one":[46,74],"weak":[47],"solution":[48],"for":[49],"under":[52],"very":[53],"general":[54],"assumptions.":[55],"Even":[56],"case":[59],"when":[60],"manifold":[63],"reduces":[64],"to":[65],"Euclidean":[67],"norm,":[68],"our":[69],"work":[70],"is":[71],"first":[73],"dealing":[75],"condition.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-02-15T00:00:00"}