{"id":"https://openalex.org/W2006330102","doi":"https://doi.org/10.1016/j.jmaa.2011.03.037","title":"A general comparison theorem for p-harmonic maps in homotopy class","display_name":"A general comparison theorem for p-harmonic maps in homotopy class","publication_year":2011,"publication_date":"2011-04-14","ids":{"openalex":"https://openalex.org/W2006330102","doi":"https://doi.org/10.1016/j.jmaa.2011.03.037","mag":"2006330102"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmaa.2011.03.037","doi":"https://doi.org/10.1016/j.jmaa.2011.03.037","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2011.03.037","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022247X11002733/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0022247X11002733/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091120410","display_name":"Giona Veronelli","orcid":"https://orcid.org/0000-0001-7469-5202","observed_orcids":["https://orcid.org/0000-0001-7469-5202"]},"institutions":[{"id":"https://openalex.org/I4387155829","display_name":"Universit\u00e9 de Cergy-Pontoise","ror":"https://ror.org/03vs46t66","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324","https://openalex.org/I4387155829"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Giona Veronelli","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Cergy-Pontoise, Site de Saint Martin, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Cergy-Pontoise, Site de Saint Martin, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France","institution_ids":["https://openalex.org/I4387155829"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091120410"],"corresponding_institution_ids":["https://openalex.org/I4387155829"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":1.5762,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81148384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"391","issue":"2","first_page":"335","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.989300012588501,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.989300012588501,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0066999997943639755,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/p-harmonic-maps","display_name":"p-harmonic maps","score":0.9990000128746033},{"id":"https://openalex.org/keywords/homotopy-classes","display_name":"homotopy classes","score":0.7590000033378601},{"id":"https://openalex.org/keywords/comparison-theorems","display_name":"comparison theorems","score":0.7960000038146973},{"id":"https://openalex.org/keywords/nonpositively-curved-manifolds","display_name":"nonpositively curved manifolds","score":0.843999981880188},{"id":"https://openalex.org/keywords/negatively-curved-manifolds","display_name":"negatively curved manifolds","score":0.9049999713897705}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7972893714904785},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7108970880508423},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.684680700302124},{"id":"https://openalex.org/C6270764","wikidata":"https://www.wikidata.org/wiki/Q5659257","display_name":"Harmonic map","level":2,"score":0.6793980598449707},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.6474467515945435},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5591421723365784},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5438909530639648},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5304372310638428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42349132895469666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17499977350234985},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06479084491729736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05233699083328247},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/j.jmaa.2011.03.037","doi":"https://doi.org/10.1016/j.jmaa.2011.03.037","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2011.03.037","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022247X11002733/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1011.3703","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1011.3703","pdf_url":"https://arxiv.org/pdf/1011.3703","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:2006330102","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1011.3703.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:CiteSeerX.psu:10.1.1.755.2866","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.755.2866","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/1011.3703.pdf","raw_type":"text"},{"id":"pmh:oai:boa.unimib.it:10281/216748","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/216748","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1011.3703","doi":"https://doi.org/10.48550/arxiv.1011.3703","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1011.3703","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:10.1016/j.jmaa.2011.03.037","doi":"https://doi.org/10.1016/j.jmaa.2011.03.037","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2011.03.037","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022247X11002733/pdf","source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2006330102.pdf","grobid_xml":"https://content.openalex.org/works/W2006330102.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W90567498","https://openalex.org/W784894688","https://openalex.org/W1509364003","https://openalex.org/W1526694294","https://openalex.org/W1534420431","https://openalex.org/W1561018430","https://openalex.org/W1569061876","https://openalex.org/W1607926288","https://openalex.org/W1966384174","https://openalex.org/W1974228548","https://openalex.org/W1976338362","https://openalex.org/W1977545633","https://openalex.org/W1994206264","https://openalex.org/W1996707458","https://openalex.org/W2000848640","https://openalex.org/W2016342610","https://openalex.org/W2034498490","https://openalex.org/W2059505101","https://openalex.org/W2066932456","https://openalex.org/W2083201220","https://openalex.org/W2085181405","https://openalex.org/W2140334157","https://openalex.org/W2460631586","https://openalex.org/W2495150466","https://openalex.org/W2982926318","https://openalex.org/W3107709063","https://openalex.org/W6630655772"],"related_works":["https://openalex.org/W2346637091","https://openalex.org/W2460631586","https://openalex.org/W2083201220","https://openalex.org/W2370453791","https://openalex.org/W2038355990","https://openalex.org/W2015584161","https://openalex.org/W1650067299","https://openalex.org/W2024717007","https://openalex.org/W2750810579","https://openalex.org/W2360749349"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}