{"id":"https://openalex.org/W2962878335","doi":"https://doi.org/10.3233/asy-151289","title":"Existence of solution to a critical trace equation with variable exponent","display_name":"Existence of solution to a critical trace equation with variable exponent","publication_year":2015,"publication_date":"2015-06-12","ids":{"openalex":"https://openalex.org/W2962878335","doi":"https://doi.org/10.3233/asy-151289","mag":"2962878335"},"language":"en","primary_location":{"id":"doi:10.3233/asy-151289","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-151289","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1289?id=asymptotic-analysis%2Fasy1289","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1289?id=asymptotic-analysis%2Fasy1289","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083018922","display_name":"Juli\u00e1n Fern\u00e1ndez Bonder","orcid":"https://orcid.org/0000-0003-1097-4776"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Juli\u00e1n Fern\u00e1ndez Bonder","raw_affiliation_strings":["Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina. E-mails:\u00a0jfbonder@dm.uba.ar,\u00a0asilva@dm.uba.ar","IMAS, CONICET, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina. E-mails:\u00a0jfbonder@dm.uba.ar,\u00a0asilva@dm.uba.ar","institution_ids":["https://openalex.org/I24354313"]},{"raw_affiliation_string":"IMAS, CONICET, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina","institution_ids":["https://openalex.org/I24354313","https://openalex.org/I151201029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036008691","display_name":"Nicolas Saintier","orcid":"https://orcid.org/0000-0001-7738-5760"},"institutions":[{"id":"https://openalex.org/I35953669","display_name":"National University of General Sarmiento","ror":"https://ror.org/01k6h2m87","country_code":"AR","type":"education","lineage":["https://openalex.org/I35953669"]},{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Nicolas Saintier","raw_affiliation_strings":["Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina. E-mails:\u00a0nsaintie@dm.uba.ar,\u00a0nsaintie@ungs.edu.ar","Instituto de Ciencias, Universidad Nacional de General Sarmiento, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina. E-mails:\u00a0nsaintie@dm.uba.ar,\u00a0nsaintie@ungs.edu.ar","institution_ids":["https://openalex.org/I24354313"]},{"raw_affiliation_string":"Instituto de Ciencias, Universidad Nacional de General Sarmiento, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I35953669"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102776937","display_name":"Anal\u00eda Silva","orcid":"https://orcid.org/0000-0002-1108-986X"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Anal\u00eda Silva","raw_affiliation_strings":["Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina. E-mails:\u00a0jfbonder@dm.uba.ar,\u00a0asilva@dm.uba.ar","IMAS, CONICET, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, FCEyN, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina. E-mails:\u00a0jfbonder@dm.uba.ar,\u00a0asilva@dm.uba.ar","institution_ids":["https://openalex.org/I24354313"]},{"raw_affiliation_string":"IMAS, CONICET, Universidad de Buenos Aires, Buenos\u00a0Aires, Argentina","institution_ids":["https://openalex.org/I24354313","https://openalex.org/I151201029"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083018922"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":2.6267,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89857675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"1-2","first_page":"161","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9997000098228455,"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":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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":0.9936000108718872,"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/trace","display_name":"TRACE (psycholinguistics)","score":0.7641791105270386},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7400375008583069},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7287269830703735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7019690871238708},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6463965177536011},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.614707350730896},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5655014514923096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5565735101699829},{"id":"https://openalex.org/keywords/critical-exponent","display_name":"Critical exponent","score":0.5540117025375366},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.549971342086792},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5335315465927124},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4926028847694397},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4779910445213318},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.43661782145500183},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3924437165260315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17058837413787842},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.07448834180831909},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06717583537101746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05126294493675232}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7641791105270386},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7400375008583069},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7287269830703735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7019690871238708},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6463965177536011},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.614707350730896},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5655014514923096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5565735101699829},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.5540117025375366},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.549971342086792},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5335315465927124},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4926028847694397},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4779910445213318},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.43661782145500183},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3924437165260315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17058837413787842},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.07448834180831909},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06717583537101746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05126294493675232},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/asy-151289","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-151289","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1289?id=asymptotic-analysis%2Fasy1289","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.766.1503","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.766.1503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1301.2962.pdf","raw_type":"text"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/116924","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/116924","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3233/asy-151289","is_oa":true,"landing_page_url":"https://doi.org/10.3233/asy-151289","pdf_url":"https://content.iospress.com:443/download/asymptotic-analysis/asy1289?id=asymptotic-analysis%2Fasy1289","source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1013454150","display_name":null,"funder_award_id":"UBACYT","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G2439265903","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G477614279","display_name":null,"funder_award_id":"PIP 5478/1438","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G6331259514","display_name":null,"funder_award_id":"5478/1438","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G6691242609","display_name":null,"funder_award_id":"UBACYT 20020100100400","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G684576016","display_name":null,"funder_award_id":"UBACYT","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G8263287307","display_name":null,"funder_award_id":"20020100100400","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320335478","display_name":"Secretar\u00eda de Ciencia y T\u00e9cnica, Universidad de Buenos Aires","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2962878335.pdf","grobid_xml":"https://content.openalex.org/works/W2962878335.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W79284508","https://openalex.org/W85993754","https://openalex.org/W115457593","https://openalex.org/W298276900","https://openalex.org/W570230096","https://openalex.org/W1482163423","https://openalex.org/W1486358692","https://openalex.org/W1598817944","https://openalex.org/W1674369032","https://openalex.org/W1970111303","https://openalex.org/W1973291020","https://openalex.org/W1980831167","https://openalex.org/W1982105439","https://openalex.org/W1994535855","https://openalex.org/W2003044012","https://openalex.org/W2004901719","https://openalex.org/W2005971993","https://openalex.org/W2007768530","https://openalex.org/W2011474167","https://openalex.org/W2011589551","https://openalex.org/W2016342610","https://openalex.org/W2017437908","https://openalex.org/W2018098675","https://openalex.org/W2025138234","https://openalex.org/W2034447457","https://openalex.org/W2038928461","https://openalex.org/W2039347658","https://openalex.org/W2041324809","https://openalex.org/W2041552483","https://openalex.org/W2066046051","https://openalex.org/W2071793505","https://openalex.org/W2075590275","https://openalex.org/W2076421610","https://openalex.org/W2084821804","https://openalex.org/W2091256209","https://openalex.org/W2124313062","https://openalex.org/W2159531493","https://openalex.org/W2171285816","https://openalex.org/W2227449807","https://openalex.org/W2294197884","https://openalex.org/W2329312055","https://openalex.org/W2330888273","https://openalex.org/W2596400422","https://openalex.org/W2963597435","https://openalex.org/W2963851458","https://openalex.org/W4231001225","https://openalex.org/W4246959100","https://openalex.org/W6637010635","https://openalex.org/W6696740915"],"related_works":["https://openalex.org/W1977876013","https://openalex.org/W4308647983","https://openalex.org/W2057361304","https://openalex.org/W2213760603","https://openalex.org/W2378397219","https://openalex.org/W4390962471","https://openalex.org/W3106283477","https://openalex.org/W2589191184","https://openalex.org/W3127252294","https://openalex.org/W2137944977"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"sufficient":[5],"local":[6],"conditions":[7],"for":[8,18,47,51],"the":[9,19,22,31,34,44,48,57],"existence":[10],"of":[11,33,43],"non-trivial":[12],"solution":[13],"to":[14],"a":[15,28,40],"critical":[16,23],"equation":[17],"p(x)-Laplacian":[20],"where":[21],"term":[24],"is":[25],"placed":[26],"as":[27],"source":[29],"through":[30],"boundary":[32],"domain.":[35],"The":[36],"proof":[37],"relies":[38],"on":[39],"suitable":[41],"generalization":[42],"concentration\u2013compactness":[45],"principle":[46],"trace":[49],"embedding":[50],"variable":[52],"exponent":[53],"Sobolev":[54],"spaces":[55],"and":[56],"classical":[58],"mountain":[59],"pass":[60],"theorem.":[61]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}