{"id":"https://openalex.org/W2076764011","doi":"https://doi.org/10.1007/s00186-014-0465-x","title":"On smoothness properties of optimal value functions at the boundary of their domain under complete convexity","display_name":"On smoothness properties of optimal value functions at the boundary of their domain under complete convexity","publication_year":2014,"publication_date":"2014-02-25","ids":{"openalex":"https://openalex.org/W2076764011","doi":"https://doi.org/10.1007/s00186-014-0465-x","mag":"2076764011"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-014-0465-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-014-0465-x","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","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/A5052388878","display_name":"Oliver Stein","orcid":"https://orcid.org/0000-0001-9514-6317"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Stein","raw_affiliation_strings":["Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","Karlsruhe Institute of Technology (KIT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052887583","display_name":"Nathan Sudermann\u2010Merx","orcid":"https://orcid.org/0000-0003-2462-7695"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nathan Sudermann-Merx","raw_affiliation_strings":["Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","Karlsruhe Institute of Technology (KIT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7343,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73461959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"79","issue":"3","first_page":"327","last_page":"352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T12508","display_name":"Functional Equations Stability Results","score":0.984499990940094,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7765445113182068},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7516771554946899},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7244856953620911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6803170442581177},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6361908912658691},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5483947992324829},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.504327654838562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49753621220588684},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44398367404937744},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4199139177799225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41858386993408203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27097204327583313}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7765445113182068},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7516771554946899},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7244856953620911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6803170442581177},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6361908912658691},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5483947992324829},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.504327654838562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49753621220588684},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44398367404937744},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4199139177799225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41858386993408203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27097204327583313},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-014-0465-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-014-0465-x","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:mathme:v:79:y:2014:i:3:p:327-352","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-014-0465-x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W41323005","https://openalex.org/W182881619","https://openalex.org/W198787876","https://openalex.org/W290023117","https://openalex.org/W1513869646","https://openalex.org/W1553702074","https://openalex.org/W1556819741","https://openalex.org/W1571966798","https://openalex.org/W1601427052","https://openalex.org/W1970946112","https://openalex.org/W1977538235","https://openalex.org/W1983523168","https://openalex.org/W1987592874","https://openalex.org/W1994325510","https://openalex.org/W2000125728","https://openalex.org/W2001180379","https://openalex.org/W2003181966","https://openalex.org/W2007537910","https://openalex.org/W2053710598","https://openalex.org/W2065385799","https://openalex.org/W2223181934","https://openalex.org/W2616299774","https://openalex.org/W2971150730","https://openalex.org/W4214631981","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2940405130","https://openalex.org/W2363211409","https://openalex.org/W2376481828","https://openalex.org/W2112641952","https://openalex.org/W2390990501","https://openalex.org/W4244087063","https://openalex.org/W2035309570","https://openalex.org/W2002792507","https://openalex.org/W2348787543","https://openalex.org/W4226280031"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}