{"id":"https://openalex.org/W3006749998","doi":"https://doi.org/10.1007/s10107-020-01540-y","title":"Characterization of Filippov representable maps and Clarke subdifferentials","display_name":"Characterization of Filippov representable maps and Clarke subdifferentials","publication_year":2020,"publication_date":"2020-07-16","ids":{"openalex":"https://openalex.org/W3006749998","doi":"https://doi.org/10.1007/s10107-020-01540-y","mag":"3006749998"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-020-01540-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01540-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/2003.00436","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066147560","display_name":"Mira Bivas","orcid":"https://orcid.org/0000-0002-2243-8199"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Mira Bivas","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Sofia University, James Bourchier Boul. 5, 1126, Sofia, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, G.Bonchev str., bl. 8, 1113, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Sofia University, James Bourchier Boul. 5, 1126, Sofia, Bulgaria","institution_ids":["https://openalex.org/I58918642"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, G.Bonchev str., bl. 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052741067","display_name":"Aris Daniilidis","orcid":"https://orcid.org/0000-0003-4837-694X"},"institutions":[{"id":"https://openalex.org/I4387155550","display_name":"Center for Mathematical Modeling","ror":"https://ror.org/00wz2vk41","country_code":"CL","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387155550","https://openalex.org/I69737025"]},{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Aris Daniilidis","raw_affiliation_strings":["DIM\u2013CMM, UMI CNRS 2807, FCFM, Universidad de Chile, Beauchef 851, Santiago, Chile","Departament de Matem\u00e0tiques [Barcelona]"],"raw_orcid":"https://orcid.org/0000-0003-4837-694X","affiliations":[{"raw_affiliation_string":"DIM\u2013CMM, UMI CNRS 2807, FCFM, Universidad de Chile, Beauchef 851, Santiago, Chile","institution_ids":["https://openalex.org/I4387155550","https://openalex.org/I69737025"]},{"raw_affiliation_string":"Departament de Matem\u00e0tiques [Barcelona]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044513568","display_name":"Marc Quincampoix","orcid":"https://orcid.org/0009-0004-4223-2720"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210119023","display_name":"Laboratoire de Math\u00e9matiques de Bretagne Atlantique","ror":"https://ror.org/02ght4n58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802204017","https://openalex.org/I4210119023","https://openalex.org/I4210141950","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Quincampoix","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Bretagne Atlantique (CNRS UMR 6205), Universit\u00e9 de Bretagne-Occidentale (Brest), 6, avenue Victor Le Gorgeu, 29200, Brest, France","Laboratoire de math\u00e9matiques de Brest"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Bretagne Atlantique (CNRS UMR 6205), Universit\u00e9 de Bretagne-Occidentale (Brest), 6, avenue Victor Le Gorgeu, 29200, Brest, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I161929037","https://openalex.org/I4210119023"]},{"raw_affiliation_string":"Laboratoire de math\u00e9matiques de Brest","institution_ids":["https://openalex.org/I4210119023"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5052741067"],"corresponding_institution_ids":["https://openalex.org/I4387155550","https://openalex.org/I69737025"],"apc_list":{"value":2740,"currency":"USD","value_usd":2740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04803599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"189","issue":"1-2","first_page":"99","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.23909999430179596,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.23909999430179596,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.22290000319480896,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.17730000615119934,"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/characterization","display_name":"Characterization (materials science)","score":0.7671288251876831},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4950818121433258},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32590407133102417},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16083040833473206},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.10895821452140808}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7671288251876831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4950818121433258},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32590407133102417},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16083040833473206},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.10895821452140808}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10107-020-01540-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01540-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2003.00436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00436","pdf_url":"https://arxiv.org/pdf/2003.00436","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":"pmh:oai:HAL:hal-02493814v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02493814","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Mathematical Programming, 2020, 189 (1-2), pp.99-115. &#x27E8;10.1007/s10107-020-01540-y&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/177231","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/177231","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming","raw_type":"Art\u00edculo de revista"},{"id":"doi:10.48550/arxiv.2003.00436","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.00436","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:2003.00436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00436","pdf_url":"https://arxiv.org/pdf/2003.00436","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":0.5899999737739563,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G155554700","display_name":null,"funder_award_id":"PGC2018-097960-B-C22","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2947553778","display_name":null,"funder_award_id":"FA9550-18-1-0254","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3576383616","display_name":null,"funder_award_id":"PGC2018-097960-B-C22","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G490073602","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6731467812","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323458","display_name":"Universidad de Chile","ror":"https://ror.org/047gc3g35"},{"id":"https://openalex.org/F4320324049","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W153209707","https://openalex.org/W158518729","https://openalex.org/W1516289514","https://openalex.org/W1529034024","https://openalex.org/W1547240457","https://openalex.org/W1551360398","https://openalex.org/W1577242220","https://openalex.org/W1592648094","https://openalex.org/W1593038947","https://openalex.org/W1966697106","https://openalex.org/W2035995125","https://openalex.org/W2036635907","https://openalex.org/W2085580362","https://openalex.org/W2086733645","https://openalex.org/W2094871536","https://openalex.org/W2228195434","https://openalex.org/W2534745787","https://openalex.org/W2892088756","https://openalex.org/W3023930869","https://openalex.org/W3099100849"],"related_works":["https://openalex.org/W2091331641","https://openalex.org/W2333313290","https://openalex.org/W2147170865","https://openalex.org/W2169367842","https://openalex.org/W3106133691","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W1985218657","https://openalex.org/W1557945163","https://openalex.org/W2742285599"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
