{"id":"https://openalex.org/W2014408221","doi":"https://doi.org/10.1007/s00526-011-0396-9","title":"Radially symmetric minimizers for a p-Ginzburg Landau type energy in $${\\mathbb R^2}$$","display_name":"Radially symmetric minimizers for a p-Ginzburg Landau type energy in $${\\mathbb R^2}$$","publication_year":2011,"publication_date":"2011-01-19","ids":{"openalex":"https://openalex.org/W2014408221","doi":"https://doi.org/10.1007/s00526-011-0396-9","mag":"2014408221"},"language":"en","primary_location":{"id":"doi:10.1007/s00526-011-0396-9","doi":"https://doi.org/10.1007/s00526-011-0396-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00526-011-0396-9","pdf_url":null,"source":{"id":"https://openalex.org/S138240904","display_name":"Calculus of Variations and Partial Differential Equations","issn_l":"0944-2669","issn":["0944-2669","1432-0835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-1","poland-200","russia-white-list-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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Calculus of Variations and Partial Differential Equations","raw_type":"journal-article"},"volume":null,"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/A5002675749","display_name":"Yaniv Almog","orcid":"https://orcid.org/0000-0002-5008-0200","observed_orcids":["https://orcid.org/0000-0002-5008-0200"]},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaniv Almog","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA","Louisiana State University**"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Louisiana State University**","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070229308","display_name":"Leonid V. Berlyand","orcid":"https://orcid.org/0009-0007-5192-8879","observed_orcids":["https://orcid.org/0009-0007-5192-8879"]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leonid Berlyand","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","Pennsylvania State Univ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005239381","display_name":"Dmitry Golovaty","orcid":"https://orcid.org/0000-0003-0696-2211","observed_orcids":["https://orcid.org/0000-0003-0696-2211"]},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dmitry Golovaty","raw_affiliation_strings":["Department of Theoretical and Applied Mathematics, The University of Akron, Akron, OH, 44325, USA","The University Of Akron"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical and Applied Mathematics, The University of Akron, Akron, OH, 44325, USA","institution_ids":["https://openalex.org/I110152177"]},{"raw_affiliation_string":"The University Of Akron","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076381660","display_name":"Itai Shafrir","orcid":"https://orcid.org/0000-0003-3273-1441","observed_orcids":["https://orcid.org/0000-0003-3273-1441"]},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Itai Shafrir","raw_affiliation_strings":["Department of Mathematics, Technion\u2014Israel Institute of Technology, 32000, Haifa, Israel","TECHNION-Israel Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technion\u2014Israel Institute of Technology, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"TECHNION-Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076381660"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.5301,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.67861604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"42","issue":"3-4","first_page":"517","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9818999767303467,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9818999767303467,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.014399999752640724,"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":0.00039999998989515007,"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/radially-symmetric-functions","display_name":"radially symmetric functions","score":0.8240000009536743},{"id":"https://openalex.org/keywords/minimizers","display_name":"minimizers","score":0.6949999928474426},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.7649999856948853},{"id":"https://openalex.org/keywords/concavity","display_name":"concavity","score":0.9359999895095825},{"id":"https://openalex.org/keywords/local-stability","display_name":"local stability","score":0.9449999928474426},{"id":"https://openalex.org/keywords/two-dimensional","display_name":"two-dimensional","score":0.5809999704360962}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8798846006393433},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7014427185058594},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.6631288528442383},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6051347255706787},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5898222923278809},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5747947692871094},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4800625741481781},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4720533490180969},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4694112539291382},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.4494115114212036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41031041741371155},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3978803753852844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12940055131912231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07800471782684326},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00526-011-0396-9","doi":"https://doi.org/10.1007/s00526-011-0396-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00526-011-0396-9","pdf_url":null,"source":{"id":"https://openalex.org/S138240904","display_name":"Calculus of Variations and Partial Differential Equations","issn_l":"0944-2669","issn":["0944-2669","1432-0835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-1","poland-200","russia-white-list-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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Calculus of Variations and Partial Differential Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/7","score":0.8799999952316284,"display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W325698167","https://openalex.org/W1230513566","https://openalex.org/W1855169650","https://openalex.org/W2020896229","https://openalex.org/W2093738860","https://openalex.org/W2094464432","https://openalex.org/W2103588786","https://openalex.org/W2169045637","https://openalex.org/W2193393042","https://openalex.org/W2483066535","https://openalex.org/W3021722416","https://openalex.org/W4233002841","https://openalex.org/W4237783740","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2087855825","https://openalex.org/W1996842245","https://openalex.org/W1516407058","https://openalex.org/W4323666601","https://openalex.org/W1509548334","https://openalex.org/W2145422818","https://openalex.org/W2091951001","https://openalex.org/W3046916520","https://openalex.org/W2077065274"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}