{"id":"https://openalex.org/W4394580425","doi":"https://doi.org/10.1007/s12220-024-01605-w","title":"Integrability and Symmetry of Positive Integrable Solutions for Weighted Wolff-Type Integral Systems","display_name":"Integrability and Symmetry of Positive Integrable Solutions for Weighted Wolff-Type Integral Systems","publication_year":2024,"publication_date":"2024-04-08","ids":{"openalex":"https://openalex.org/W4394580425","doi":"https://doi.org/10.1007/s12220-024-01605-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12220-024-01605-w","doi":"https://doi.org/10.1007/s12220-024-01605-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12220-024-01605-w","pdf_url":null,"source":{"id":"https://openalex.org/S6775291","display_name":"Journal of Geometric Analysis","issn_l":"1050-6926","issn":["1050-6926","1559-002X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-2","vabb-shw"],"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":"The Journal of Geometric Analysis","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5100624465","display_name":"Yan Bai","orcid":"https://orcid.org/0000-0003-0691-9707","observed_orcids":["https://orcid.org/0000-0003-0691-9707"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Bai","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055268501","display_name":"Zexin Zhang","orcid":"https://orcid.org/0000-0002-7566-8449","observed_orcids":["https://orcid.org/0000-0002-7566-8449"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zexin Zhang","raw_affiliation_strings":["HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100662177","display_name":"Zhitao Zhang","orcid":"https://orcid.org/0000-0001-5592-310X","observed_orcids":["https://orcid.org/0000-0001-5592-310X"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhitao Zhang","raw_affiliation_strings":["HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100662177"],"corresponding_institution_ids":["https://openalex.org/I115592961","https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.9338,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64072854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"34","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9951000213623047,"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":0.9951000213623047,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0007999999797903001,"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":0.0005000000237487257,"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/wolff-potential","display_name":"Wolff potential","score":0.9879999756813049},{"id":"https://openalex.org/keywords/boundedness","display_name":"boundedness","score":0.6449999809265137},{"id":"https://openalex.org/keywords/vanishing-at-infinity","display_name":"vanishing at infinity","score":0.9629999995231628},{"id":"https://openalex.org/keywords/radial-symmetry","display_name":"radial symmetry","score":0.765999972820282},{"id":"https://openalex.org/keywords/minkowski-inequality","display_name":"Minkowski inequality","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.9162582755088806},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6865320205688477},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6540833711624146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5515862107276917},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4980435371398926},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.47208186984062195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42470720410346985},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07274860143661499},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06660273671150208},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12220-024-01605-w","doi":"https://doi.org/10.1007/s12220-024-01605-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12220-024-01605-w","pdf_url":null,"source":{"id":"https://openalex.org/S6775291","display_name":"Journal of Geometric Analysis","issn_l":"1050-6926","issn":["1050-6926","1559-002X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-2","vabb-shw"],"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":"The Journal of Geometric Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7148679336","display_name":null,"funder_award_id":"12031015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7315577","display_name":null,"funder_award_id":"2022YFA1005601","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1974962629","https://openalex.org/W1979049759","https://openalex.org/W1983346226","https://openalex.org/W2011667189","https://openalex.org/W2012063459","https://openalex.org/W2016670537","https://openalex.org/W2027815054","https://openalex.org/W2049535402","https://openalex.org/W2055205893","https://openalex.org/W2073460085","https://openalex.org/W2102768481","https://openalex.org/W2135464837","https://openalex.org/W2312590008","https://openalex.org/W2316465892","https://openalex.org/W2320214009","https://openalex.org/W2905260143","https://openalex.org/W2962834597","https://openalex.org/W3111487419","https://openalex.org/W3128896600","https://openalex.org/W4235609472","https://openalex.org/W4320928958"],"related_works":["https://openalex.org/W2312590008","https://openalex.org/W4320928958","https://openalex.org/W2319607040","https://openalex.org/W2320214009","https://openalex.org/W4281609114","https://openalex.org/W2047267204","https://openalex.org/W2095581407","https://openalex.org/W3128896600","https://openalex.org/W2530475401","https://openalex.org/W1982541190"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2024-04-09T00:00:00"}