{"id":"https://openalex.org/W2904048422","doi":"https://doi.org/10.1007/s10957-018-01462-y","title":"Optimal Potentials of Measure Differential Equations with Given Spectral Data","display_name":"Optimal Potentials of Measure Differential Equations with Given Spectral Data","publication_year":2018,"publication_date":"2018-12-18","ids":{"openalex":"https://openalex.org/W2904048422","doi":"https://doi.org/10.1007/s10957-018-01462-y","mag":"2904048422"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-01462-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01462-y","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/A5081337675","display_name":"Zhiyuan Wen","orcid":"https://orcid.org/0000-0001-9780-3712"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyuan Wen","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Huhhot, 010021, China","School of Mathematical Sciences, Inner Mongolia University, Huhhot, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Huhhot, 010021, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Huhhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072419374","display_name":"Lijuan Zhou","orcid":"https://orcid.org/0000-0001-7674-6886"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lijuan Zhou","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Huhhot, 010021, China","School of Mathematical Sciences, Inner Mongolia University, Huhhot, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Huhhot, 010021, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Huhhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101496928","display_name":"Meirong Zhang","orcid":"https://orcid.org/0000-0003-4933-6456"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meirong Zhang","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China","Department of Mathematical Sciences, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081337675"],"corresponding_institution_ids":["https://openalex.org/I2722730"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2137,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58731287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"184","issue":"1","first_page":"139","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9955000281333923,"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":0.9889000058174133,"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":0.8440598249435425},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7559158205986023},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7138246893882751},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6975692510604858},{"id":"https://openalex.org/keywords/dirichlet-eigenvalue","display_name":"Dirichlet eigenvalue","score":0.5443922281265259},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5385639667510986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5134978890419006},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5131872296333313},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4845260977745056},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44221892952919006},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.2210058569908142},{"id":"https://openalex.org/keywords/dirichlets-principle","display_name":"Dirichlet's principle","score":0.14065280556678772},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10335537791252136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08204755187034607}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8440598249435425},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7559158205986023},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7138246893882751},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6975692510604858},{"id":"https://openalex.org/C102231394","wikidata":"https://www.wikidata.org/wiki/Q5280763","display_name":"Dirichlet eigenvalue","level":5,"score":0.5443922281265259},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5385639667510986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5134978890419006},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5131872296333313},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4845260977745056},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44221892952919006},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2210058569908142},{"id":"https://openalex.org/C148158259","wikidata":"https://www.wikidata.org/wiki/Q975727","display_name":"Dirichlet's principle","level":4,"score":0.14065280556678772},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10335537791252136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08204755187034607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-018-01462-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01462-y","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:RePEc:spr:joptap:v:184:y:2020:i:1:d:10.1007_s10957-018-01462-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-01462-y","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":[{"id":"https://openalex.org/G4609008125","display_name":null,"funder_award_id":"11790273","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5479093092","display_name":null,"funder_award_id":"20100-5165106","funder_id":"https://openalex.org/F4320322216","funder_display_name":"Inner Mongolia University"},{"id":"https://openalex.org/G8936522012","display_name":null,"funder_award_id":"21200-5175108","funder_id":"https://openalex.org/F4320322216","funder_display_name":"Inner Mongolia University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322216","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W125865055","https://openalex.org/W642609646","https://openalex.org/W648103608","https://openalex.org/W648134895","https://openalex.org/W1553283060","https://openalex.org/W1580233720","https://openalex.org/W1680579736","https://openalex.org/W1965538707","https://openalex.org/W1973861336","https://openalex.org/W2019005887","https://openalex.org/W2044718862","https://openalex.org/W2081689661","https://openalex.org/W2109118548","https://openalex.org/W2137757043","https://openalex.org/W2261423932","https://openalex.org/W2273996667","https://openalex.org/W2313272472","https://openalex.org/W2603117602","https://openalex.org/W2730545452","https://openalex.org/W2808942422","https://openalex.org/W3048281523","https://openalex.org/W3142915818","https://openalex.org/W4232390101","https://openalex.org/W4239308190","https://openalex.org/W4254975140","https://openalex.org/W4296586446"],"related_works":["https://openalex.org/W4386061952","https://openalex.org/W2229502320","https://openalex.org/W2076788504","https://openalex.org/W2952469864","https://openalex.org/W1590305182","https://openalex.org/W4206550534","https://openalex.org/W1994297820","https://openalex.org/W3202045105","https://openalex.org/W4298195810","https://openalex.org/W4304690724"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}