{"id":"https://openalex.org/W2346644564","doi":"https://doi.org/10.1137/16m1073662","title":"Trace-Free Korn Inequalities in Orlicz Spaces","display_name":"Trace-Free Korn Inequalities in Orlicz Spaces","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2346644564","doi":"https://doi.org/10.1137/16m1073662","mag":"2346644564"},"language":"en","primary_location":{"id":"doi:10.1137/16m1073662","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073662","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.01006","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018745301","display_name":"Dominic Breit","orcid":"https://orcid.org/0000-0003-2787-3250"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Breit","raw_affiliation_strings":["School of Mathematical & Computer Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical & Computer Sciences","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075871069","display_name":"Andrea Cianchi","orcid":"https://orcid.org/0000-0002-1198-8718"},"institutions":[{"id":"https://openalex.org/I4210112122","display_name":"Florence (Netherlands)","ror":"https://ror.org/021qg3d64","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210112122"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A. Cianchi","raw_affiliation_strings":["Univ of Florence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ of Florence","institution_ids":["https://openalex.org/I4210112122"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010484841","display_name":"Lars Diening","orcid":"https://orcid.org/0000-0002-0523-3079"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"L. Diening","raw_affiliation_strings":["Ludwig Maximilian University of Munich","University of Osnabr\u00fcck"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ludwig Maximilian University of Munich","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"University of Osnabr\u00fcck","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.365,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50486036,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"4","first_page":"2496","last_page":"2526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9987000226974487,"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":0.9987000226974487,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7140424251556396},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.6985083818435669},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5887166261672974},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5722494125366211},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.560603141784668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4948045611381531},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4902530312538147},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4732031226158142},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09277844429016113},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05009925365447998}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7140424251556396},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6985083818435669},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5887166261672974},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5722494125366211},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.560603141784668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4948045611381531},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4902530312538147},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4732031226158142},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09277844429016113},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05009925365447998},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/16m1073662","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073662","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:arXiv.org:1605.01006","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.01006","pdf_url":"https://arxiv.org/pdf/1605.01006","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,"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:2346644564","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.01006.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,"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:flore.unifi.it:2158/1101757","is_oa":false,"landing_page_url":"https://epubs.siam.org/doi/epdf/10.1137/16M1073662","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"pmh:oai:pub.librecat.org:2913485","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2913485","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Breit D, Cianchi A, Diening L. Trace-free Korn inequalities in Orlicz spaces. &lt;em&gt;SIAM Journal on Mathematical Analysis&lt;/em&gt;. 2017;49(4):2496-2526.","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1605.01006","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.01006","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,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.01006","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.01006","pdf_url":"https://arxiv.org/pdf/1605.01006","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,"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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G579383237","display_name":null,"funder_award_id":"2012TC7588","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2346644564.pdf","grobid_xml":"https://content.openalex.org/works/W2346644564.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W203602567","https://openalex.org/W1509697219","https://openalex.org/W1576495773","https://openalex.org/W1674121601","https://openalex.org/W1966290891","https://openalex.org/W1967470443","https://openalex.org/W1971988375","https://openalex.org/W1973113353","https://openalex.org/W1973711486","https://openalex.org/W2006079712","https://openalex.org/W2015176885","https://openalex.org/W2022122562","https://openalex.org/W2025890041","https://openalex.org/W2029220585","https://openalex.org/W2037652274","https://openalex.org/W2042513757","https://openalex.org/W2049745804","https://openalex.org/W2053188289","https://openalex.org/W2053273806","https://openalex.org/W2056289252","https://openalex.org/W2061491667","https://openalex.org/W2071283429","https://openalex.org/W2074922793","https://openalex.org/W2076012662","https://openalex.org/W2086739819","https://openalex.org/W2091501457","https://openalex.org/W2100515484","https://openalex.org/W2104128370","https://openalex.org/W2105340951","https://openalex.org/W2113903730","https://openalex.org/W2117019429","https://openalex.org/W2126672608","https://openalex.org/W2149460624","https://openalex.org/W2169670466","https://openalex.org/W2169688300","https://openalex.org/W2505847157","https://openalex.org/W2567626898","https://openalex.org/W2963444786","https://openalex.org/W2963932561","https://openalex.org/W2964031825"],"related_works":["https://openalex.org/W2505847157","https://openalex.org/W2006079712","https://openalex.org/W2049745804","https://openalex.org/W1674121601","https://openalex.org/W2136450421","https://openalex.org/W613121972","https://openalex.org/W2973877901","https://openalex.org/W2030122087","https://openalex.org/W2143733042","https://openalex.org/W202867311","https://openalex.org/W1516506178","https://openalex.org/W178336410","https://openalex.org/W2086396800","https://openalex.org/W3099386847","https://openalex.org/W371760930","https://openalex.org/W2989727936","https://openalex.org/W2911560574","https://openalex.org/W2007466047","https://openalex.org/W2753231590","https://openalex.org/W2949609901"],"abstract_inverted_index":{"Necessary":[0],"and":[1,23,67],"sufficient":[2,52],"conditions":[3,53],"are":[4],"exhibited":[5],"for":[6,58,63,68],"a":[7,33,38],"Korn-type":[8,56],"inequality":[9],"to":[10,43],"hold":[11],"between":[12],"(possibly":[13],"different)":[14],"Orlicz":[15],"norms":[16],"of":[17,20,24,28,35,46,49,71],"the":[18,25,44,47,50,59,69,72],"gradient":[19,70],"vector-valued":[21],"functions":[22],"deviatoric":[26],"part":[27],"their":[29],"symmetric":[30,61],"gradients.":[31],"As":[32],"byproduct":[34],"our":[36],"approach,":[37],"positive":[39],"answer":[40],"is":[41],"given":[42],"question":[45],"necessity":[48],"same":[51],"in":[54],"related":[55],"inequalities":[57],"full":[60],"gradient,":[62],"negative":[64],"Orlicz--Sobolev":[65],"norms,":[66],"Bogovski\u01d0":[73],"operator.":[74]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
