{"id":"https://openalex.org/W147689840","doi":"https://doi.org/10.68381/jca04019","title":"Shape Optimization Problems over Classes of Convex Domains","display_name":"Shape Optimization Problems over Classes of Convex Domains","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W147689840","doi":"https://doi.org/10.68381/jca04019","mag":"147689840"},"language":"en","primary_location":{"id":"doi:10.68381/jca04019","doi":"https://doi.org/10.68381/jca04019","is_oa":true,"landing_page_url":"https://doi.org/10.68381/jca04019","pdf_url":"https://journalofconvexanalysis.com/articles/jca04019/jca04019.pdf","source":{"id":"https://openalex.org/S163398844","display_name":"Journal of convex analysis","issn_l":"0944-6532","issn":["0944-6532","2363-6394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Convex Analysis","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://journalofconvexanalysis.com/articles/jca04019/jca04019.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110542717","display_name":"Giuseppe Buttazzo","orcid":null,"observed_orcids":[]},"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"]},{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Buttazzo","raw_affiliation_strings":["Dipartimento di Matematica, Via Buonarroti 2, 56127 Pisa, Italy","Scuola Normale Superiore di Pisa >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Via Buonarroti 2, 56127 Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Scuola Normale Superiore di Pisa >  >  >  >","institution_ids":["https://openalex.org/I157210198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067744097","display_name":"Paolo Guasoni","orcid":"https://orcid.org/0000-0002-8562-3658","observed_orcids":["https://orcid.org/0000-0002-8562-3658"]},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Guasoni","raw_affiliation_strings":["Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy","institution_ids":["https://openalex.org/I157210198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5514,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.51429928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"4","issue":"2","first_page":"343","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.6298999786376953,"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":0.6298999786376953,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.13289999961853027,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.032499998807907104,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shape-optimization","display_name":"shape optimization","score":0.9990000128746033},{"id":"https://openalex.org/keywords/convex-domains","display_name":"convex domains","score":0.984000027179718},{"id":"https://openalex.org/keywords/existence-of-optimal-solutions","display_name":"existence of optimal solutions","score":0.7639999985694885},{"id":"https://openalex.org/keywords/convex-sets","display_name":"convex sets","score":0.3479999899864197}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7117596864700317},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6196656823158264},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43595078587532043},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.361613929271698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1897321343421936}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.68381/jca04019","doi":"https://doi.org/10.68381/jca04019","is_oa":true,"landing_page_url":"https://doi.org/10.68381/jca04019","pdf_url":"https://journalofconvexanalysis.com/articles/jca04019/jca04019.pdf","source":{"id":"https://openalex.org/S163398844","display_name":"Journal of convex analysis","issn_l":"0944-6532","issn":["0944-6532","2363-6394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Convex Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.502.4350","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.502.4350","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://guasoni.com/papers/resmin.pdf","raw_type":"text"},{"id":"pmh:oai:cris.unibo.it:11585/855624","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/855624","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":"mag:147689840","doi":null,"is_oa":false,"landing_page_url":"https://www.guasoni.com/papers/resmin.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S163398844","display_name":"Journal of convex analysis","issn_l":"0944-6532","issn":["0944-6532","2363-6394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of convex analysis","raw_type":null}],"best_oa_location":{"id":"doi:10.68381/jca04019","doi":"https://doi.org/10.68381/jca04019","is_oa":true,"landing_page_url":"https://doi.org/10.68381/jca04019","pdf_url":"https://journalofconvexanalysis.com/articles/jca04019/jca04019.pdf","source":{"id":"https://openalex.org/S163398844","display_name":"Journal of convex analysis","issn_l":"0944-6532","issn":["0944-6532","2363-6394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Convex Analysis","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/W147689840.pdf","grobid_xml":"https://content.openalex.org/works/W147689840.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W199763085","https://openalex.org/W1965171516","https://openalex.org/W2004582986","https://openalex.org/W2076858832","https://openalex.org/W2251490743","https://openalex.org/W2329900887","https://openalex.org/W2489558089","https://openalex.org/W2798812720","https://openalex.org/W4236497141"],"related_works":["https://openalex.org/W2166666967","https://openalex.org/W2075486287","https://openalex.org/W146535343","https://openalex.org/W7214333030","https://openalex.org/W7098793182","https://openalex.org/W3044727259","https://openalex.org/W2024554386","https://openalex.org/W4231580618","https://openalex.org/W2066445405","https://openalex.org/W2266234645"],"abstract_inverted_index":{"We":[0,59],"consider":[1],"shape":[2],"optimization":[3],"problems":[4],"of":[5,51,56,63],"the":[6,48,61,68],"form":[7],"\\min\\{\\int_{\\partial":[8],"A}":[9],"f(x,\\nu(x))\\,\\mathrm{d}\\mathcal{H}^{n-1}":[10],":":[11,35],"A":[12,20,36,38],"\\in":[13],"\\mathcal{A}\\}":[14],"min":[15],"\u2061":[16],"{":[17],"\u222b":[18],"\u2202":[19],"f":[21,42],"(":[22,26],"x":[23,27],",":[24,40],"\u03bd":[25],")":[28,29],"d":[30],"H":[31],"n":[32],"\u2212":[33],"1":[34],"\u2208":[37],"}":[39],"where":[41],"is":[43,54],"any":[44],"continuous":[45],"function":[46],"and":[47],"class":[49],"\ud835\udc9c":[50],"admissible":[52],"domains":[53,69],"made":[55],"convex":[57],"sets.":[58],"prove":[60],"existence":[62],"an":[64],"optimal":[65],"solution":[66],"provided":[67],"satisfy":[70],"some":[71],"suitable":[72],"constraints.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
