{"id":"https://openalex.org/W35382002","doi":"https://doi.org/10.1007/978-3-642-36062-6_53","title":"p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory","display_name":"p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W35382002","doi":"https://doi.org/10.1007/978-3-642-36062-6_53","mag":"35382002"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-36062-6_53","doi":"https://doi.org/10.1007/978-3-642-36062-6_53","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_53","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-36062-6_53.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2491797802","display_name":"System Modeling and Optimization"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-36062-6_53.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045768571","display_name":"Agnieszka Prusi\u0144ska","orcid":"https://orcid.org/0000-0002-6091-6884","observed_orcids":["https://orcid.org/0000-0002-6091-6884"]},"institutions":[{"id":"https://openalex.org/I231086526","display_name":"University of Siedlce","ror":"https://ror.org/01wkb9987","country_code":"PL","type":"education","lineage":["https://openalex.org/I231086526"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Agnieszka Prusi\u0144ska","raw_affiliation_strings":["Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","Siedlce University of Natural Sciences and Humanities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","institution_ids":["https://openalex.org/I231086526"]},{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities","institution_ids":["https://openalex.org/I231086526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004738665","display_name":"Ewa Szczepanik","orcid":"https://orcid.org/0000-0002-1320-3275","observed_orcids":["https://orcid.org/0000-0002-1320-3275"]},"institutions":[{"id":"https://openalex.org/I231086526","display_name":"University of Siedlce","ror":"https://ror.org/01wkb9987","country_code":"PL","type":"education","lineage":["https://openalex.org/I231086526"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Szczepanik","raw_affiliation_strings":["Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","Siedlce University of Natural Sciences and Humanities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","institution_ids":["https://openalex.org/I231086526"]},{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities","institution_ids":["https://openalex.org/I231086526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091663568","display_name":"Alexey A Tret\u2019yakov","orcid":"https://orcid.org/0000-0003-3474-8458","observed_orcids":["https://orcid.org/0000-0003-3474-8458"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I231086526","display_name":"University of Siedlce","ror":"https://ror.org/01wkb9987","country_code":"PL","type":"education","lineage":["https://openalex.org/I231086526"]},{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL","RU"],"is_corresponding":false,"raw_author_name":"Alexey Tret\u2019yakov","raw_affiliation_strings":["Dorodnicyn Computing Center of the Russian Academy of Sciences, Moscow, Russia","Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","System Research Institute of the Polish Academy of Sciences, Warsaw, Poland","Dorodnicyn Computing Center of the Russian Academy of Sciences","Siedlce University of Natural Sciences and Humanities","System Research Institute of the Polish Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Center of the Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities, Siedlce, Poland","institution_ids":["https://openalex.org/I231086526"]},{"raw_affiliation_string":"System Research Institute of the Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"raw_affiliation_string":"Dorodnicyn Computing Center of the Russian Academy of Sciences","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Siedlce University of Natural Sciences and Humanities","institution_ids":["https://openalex.org/I231086526"]},{"raw_affiliation_string":"System Research Institute of the Polish Academy of Sciences","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5045768571"],"corresponding_institution_ids":["https://openalex.org/I231086526"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00479463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"528","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.00019999999494757503,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/calculus-of-variations","display_name":"calculus of variations","score":0.7870000004768372},{"id":"https://openalex.org/keywords/necessary-optimality-conditions","display_name":"necessary optimality conditions","score":0.7919999957084656},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"constrained optimization","score":0.460999995470047},{"id":"https://openalex.org/keywords/singular-extremals","display_name":"singular extremals","score":0.31299999356269836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610101699829102},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6857858896255493},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.6460496783256531},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.5340719819068909},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4777235686779022},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4495594799518585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4105817973613739},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2792772650718689},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23996314406394958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10994544625282288},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-36062-6_53","doi":"https://doi.org/10.1007/978-3-642-36062-6_53","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_53","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-36062-6_53.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01347581v1","doi":null,"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01347581","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.528-537, &#x27E8;10.1007/978-3-642-36062-6_53&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-36062-6_53","doi":"https://doi.org/10.1007/978-3-642-36062-6_53","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_53","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-36062-6_53.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W35382002.pdf","grobid_xml":"https://content.openalex.org/works/W35382002.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1983677111","https://openalex.org/W2007423776","https://openalex.org/W2040665642","https://openalex.org/W2314446234"],"related_works":["https://openalex.org/W3015672237","https://openalex.org/W1607139407","https://openalex.org/W4256653909","https://openalex.org/W2911989606","https://openalex.org/W1972989769","https://openalex.org/W2218865403","https://openalex.org/W3186877119","https://openalex.org/W2500561807","https://openalex.org/W4254095678","https://openalex.org/W2334000660"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}
