{"id":"https://openalex.org/W2765993865","doi":"https://doi.org/10.1007/s10957-018-1347-9","title":"Optimal Potentials for Problems with Changing Sign Data","display_name":"Optimal Potentials for Problems with Changing Sign Data","publication_year":2018,"publication_date":"2018-07-16","ids":{"openalex":"https://openalex.org/W2765993865","doi":"https://doi.org/10.1007/s10957-018-1347-9","mag":"2765993865"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-1347-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1347-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054838718","display_name":"Giuseppe Buttazzo","orcid":"https://orcid.org/0000-0003-1769-6801"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Buttazzo","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Largo B. Pontecorvo 5, 56127, Pisa, Italy","Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1769-6801","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Largo B. Pontecorvo 5, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049481843","display_name":"Faustino Maestre","orcid":"https://orcid.org/0000-0001-6644-0277"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Faustino Maestre","raw_affiliation_strings":["Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, C/ Tarfia s/n. Aptdo 1160, 41080, Seville, Spain","Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, Seville, Spain"],"raw_orcid":"https://orcid.org/0000-0001-6644-0277","affiliations":[{"raw_affiliation_string":"Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, C/ Tarfia s/n. Aptdo 1160, 41080, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087382359","display_name":"Bozhidar Velichkov","orcid":"https://orcid.org/0000-0003-4968-3087"},"institutions":[{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bozhidar Velichkov","raw_affiliation_strings":["Laboratoire Jean Kuntzmann (LJK), Universit\u00e9 Grenoble Alpes, B\u00e2timent IMAG, 700 Avenue Centrale, 38401, Saint-Martin-d\u2019H\u00e8res, France","Laboratoire Jean Kuntzmann (LJK), Universit\u00e9 Grenoble Alpes, Saint-Martin-d\u2019H\u00e8res, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jean Kuntzmann (LJK), Universit\u00e9 Grenoble Alpes, B\u00e2timent IMAG, 700 Avenue Centrale, 38401, Saint-Martin-d\u2019H\u00e8res, France","institution_ids":["https://openalex.org/I4210149092","https://openalex.org/I899635006"]},{"raw_affiliation_string":"Laboratoire Jean Kuntzmann (LJK), Universit\u00e9 Grenoble Alpes, Saint-Martin-d\u2019H\u00e8res, France","institution_ids":["https://openalex.org/I4210149092","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054838718"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2137,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.51644774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"178","issue":"3","first_page":"743","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8757872581481934},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7563732266426086},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.703116238117218},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.589305579662323},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5190223455429077},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5178456902503967},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5155444145202637},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5138967037200928},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.48157310485839844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4542054831981659},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44443243741989136},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4433521032333374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43838950991630554},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4255940616130829},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2310505509376526},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07930430769920349}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8757872581481934},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7563732266426086},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.703116238117218},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.589305579662323},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5190223455429077},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5178456902503967},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5155444145202637},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5138967037200928},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.48157310485839844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4542054831981659},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44443243741989136},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4433521032333374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43838950991630554},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4255940616130829},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2310505509376526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07930430769920349},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10957-018-1347-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1347-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02014035v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02014035","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Optimization Theory and Applications, 2018, 178 (3), pp.743-762. ⟨10.1007/s10957-018-1347-9⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:joptap:v:178:y:2018:i:3:d:10.1007_s10957-018-1347-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-1347-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:arpi.unipi.it:11568/939293","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/939293","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320324499","display_name":"Universit\u00e0 di Pisa","ror":"https://ror.org/03ad39j10"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W381133565","https://openalex.org/W1510514092","https://openalex.org/W1969220791","https://openalex.org/W1992424627","https://openalex.org/W2001369801","https://openalex.org/W2034702694","https://openalex.org/W2055747840","https://openalex.org/W2062523101","https://openalex.org/W2062893182","https://openalex.org/W2082187902","https://openalex.org/W2111556401","https://openalex.org/W2160060236","https://openalex.org/W2186183828","https://openalex.org/W2507137996","https://openalex.org/W2607928667","https://openalex.org/W2803016632","https://openalex.org/W2906245769","https://openalex.org/W2963886964","https://openalex.org/W3029645440","https://openalex.org/W4214692364"],"related_works":["https://openalex.org/W4301895170","https://openalex.org/W2963936214","https://openalex.org/W3148881609","https://openalex.org/W2610026222","https://openalex.org/W2784024314","https://openalex.org/W3048061938","https://openalex.org/W2032860538","https://openalex.org/W2001283893","https://openalex.org/W2069436786","https://openalex.org/W2053079725"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}