{"id":"https://openalex.org/W191266420","doi":"https://doi.org/10.1007/978-3-642-40020-9_27","title":"Variational Problem in Euclidean Space with Density","display_name":"Variational Problem in Euclidean Space with Density","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W191266420","doi":"https://doi.org/10.1007/978-3-642-40020-9_27","mag":"191266420"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40020-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5073085375","display_name":"Lakehal Belarbi","orcid":"https://orcid.org/0000-0002-9196-1979"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I177657909","display_name":"Universit\u00e9 de Mostaganem","ror":"https://ror.org/052r04325","country_code":"DZ","type":"education","lineage":["https://openalex.org/I177657909"]}],"countries":["DZ","FR"],"is_corresponding":true,"raw_author_name":"Lakehal Belarbi","raw_affiliation_strings":["Departement de Math\u00e9matiques, Universit\u00e9 de Mostaganem, B.P.227, 27000, Mostaganem, Alg\u00e9rie","universit\u00e9 de Mostaganem"],"affiliations":[{"raw_affiliation_string":"Departement de Math\u00e9matiques, Universit\u00e9 de Mostaganem, B.P.227, 27000, Mostaganem, Alg\u00e9rie","institution_ids":["https://openalex.org/I177657909","https://openalex.org/I3019441195"]},{"raw_affiliation_string":"universit\u00e9 de Mostaganem","institution_ids":["https://openalex.org/I177657909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073143768","display_name":"Mohamed Belkhelfa","orcid":"https://orcid.org/0000-0002-2570-6742"},"institutions":[{"id":"https://openalex.org/I4210124230","display_name":"Universit\u00e9 Mustapha Stambouli de Mascara","ror":"https://ror.org/02vqddp65","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210124230"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mohamed Belkhelfa","raw_affiliation_strings":["Laboratoire de Physique Quantique de la Mati\u00e8re et Mod\u00e9lisations Math\u00e9matiques (LPQ3M), Universit\u00e9 de Mascara, B.P.305, 29000, Route de Mamounia Mascara, Alg\u00e9rie","Universit\u00e9 de Mascara"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Quantique de la Mati\u00e8re et Mod\u00e9lisations Math\u00e9matiques (LPQ3M), Universit\u00e9 de Mascara, B.P.305, 29000, Route de Mamounia Mascara, Alg\u00e9rie","institution_ids":["https://openalex.org/I4210124230"]},{"raw_affiliation_string":"Universit\u00e9 de Mascara","institution_ids":["https://openalex.org/I4210124230"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073085375"],"corresponding_institution_ids":["https://openalex.org/I177657909","https://openalex.org/I3019441195"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16666667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"257","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998999834060669,"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":0.9998999834060669,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9990000128746033,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.6123546957969666},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5786053538322449},{"id":"https://openalex.org/keywords/plateau","display_name":"Plateau (mathematics)","score":0.5557519197463989},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.515747606754303},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5039119124412537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4776100814342499},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.44265368580818176},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4391734302043915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4140959680080414},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.41365665197372437},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.413499116897583},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.4125578999519348},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3500671982765198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3403158187866211},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.33918309211730957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32084935903549194},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2501455247402191},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2268408238887787}],"concepts":[{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.6123546957969666},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5786053538322449},{"id":"https://openalex.org/C2780030769","wikidata":"https://www.wikidata.org/wiki/Q4968575","display_name":"Plateau (mathematics)","level":2,"score":0.5557519197463989},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.515747606754303},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5039119124412537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4776100814342499},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.44265368580818176},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4391734302043915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4140959680080414},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.41365665197372437},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.413499116897583},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.4125578999519348},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3500671982765198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3403158187866211},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33918309211730957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32084935903549194},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2501455247402191},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2268408238887787},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-40020-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W64634747","https://openalex.org/W104291300","https://openalex.org/W135763904","https://openalex.org/W1968781546","https://openalex.org/W1970564715","https://openalex.org/W2031551418","https://openalex.org/W2049357019","https://openalex.org/W2146453955","https://openalex.org/W2803373360","https://openalex.org/W2994207760","https://openalex.org/W4236312485","https://openalex.org/W4243744369"],"related_works":["https://openalex.org/W3042052879","https://openalex.org/W1573143185","https://openalex.org/W2963495964","https://openalex.org/W2038277382","https://openalex.org/W4294294347","https://openalex.org/W2145396827","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W63976795","https://openalex.org/W2098664238"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}