{"id":"https://openalex.org/W4412188701","doi":"https://doi.org/10.1007/s40314-025-03308-6","title":"Normalized ground states for fractional energy critical Kirchhoff equations with the mass critical and supercritical perturbations","display_name":"Normalized ground states for fractional energy critical Kirchhoff equations with the mass critical and supercritical perturbations","publication_year":2025,"publication_date":"2025-07-11","ids":{"openalex":"https://openalex.org/W4412188701","doi":"https://doi.org/10.1007/s40314-025-03308-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03308-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03308-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5065911661","display_name":"Lingzheng Kong","orcid":"https://orcid.org/0000-0001-5640-0968"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingzheng Kong","raw_affiliation_strings":["School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100967103","display_name":"Zhu Li-yan","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyan Zhu","raw_affiliation_strings":["School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100406216","display_name":"Haibo Chen","orcid":"https://orcid.org/0000-0002-9868-7079"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haibo Chen","raw_affiliation_strings":["School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065911661"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23143363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9997000098228455,"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":0.9994999766349792,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/supercritical-fluid","display_name":"Supercritical fluid","score":0.8532874584197998},{"id":"https://openalex.org/keywords/critical-mass","display_name":"Critical mass (sociodynamics)","score":0.7793838381767273},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.46518486738204956},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.43191057443618774},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41067758202552795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33126336336135864},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.32439154386520386},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1794610321521759},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.120404452085495}],"concepts":[{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.8532874584197998},{"id":"https://openalex.org/C140878338","wikidata":"https://www.wikidata.org/wiki/Q947987","display_name":"Critical mass (sociodynamics)","level":2,"score":0.7793838381767273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.46518486738204956},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.43191057443618774},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41067758202552795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33126336336135864},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32439154386520386},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1794610321521759},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.120404452085495},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03308-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03308-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4650500201","display_name":null,"funder_award_id":"2023zzts0354","funder_id":"https://openalex.org/F4320335880","funder_display_name":"Fundamental Research Funds for Central Universities of the Central South University"},{"id":"https://openalex.org/G5131451679","display_name":null,"funder_award_id":"12071486","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation 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/F4320335880","display_name":"Fundamental Research Funds for Central Universities of the Central South University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1544424399","https://openalex.org/W1578461620","https://openalex.org/W1695100291","https://openalex.org/W1966198594","https://openalex.org/W1973352373","https://openalex.org/W1986408858","https://openalex.org/W2005105370","https://openalex.org/W2011095781","https://openalex.org/W2025094778","https://openalex.org/W2027093401","https://openalex.org/W2043812901","https://openalex.org/W2049434583","https://openalex.org/W2055659977","https://openalex.org/W2079911808","https://openalex.org/W2081436513","https://openalex.org/W2084630730","https://openalex.org/W2086574007","https://openalex.org/W2131869996","https://openalex.org/W2147560078","https://openalex.org/W2172034033","https://openalex.org/W2315618180","https://openalex.org/W2406444069","https://openalex.org/W2465350935","https://openalex.org/W2496798208","https://openalex.org/W2566976771","https://openalex.org/W2567527172","https://openalex.org/W2592777841","https://openalex.org/W2617132937","https://openalex.org/W2792801164","https://openalex.org/W2803314915","https://openalex.org/W2901245713","https://openalex.org/W2916567905","https://openalex.org/W2963779751","https://openalex.org/W3021019254","https://openalex.org/W3026552576","https://openalex.org/W3049071471","https://openalex.org/W3098383648","https://openalex.org/W3104123591","https://openalex.org/W3104765036","https://openalex.org/W3127975849","https://openalex.org/W3127980000","https://openalex.org/W3136005094","https://openalex.org/W3159733536","https://openalex.org/W3201257816","https://openalex.org/W4283393005","https://openalex.org/W4294837468","https://openalex.org/W4296193612","https://openalex.org/W4296351373","https://openalex.org/W4365791304","https://openalex.org/W4379521062","https://openalex.org/W4382278338","https://openalex.org/W4389848329","https://openalex.org/W4396237653"],"related_works":["https://openalex.org/W3196163622","https://openalex.org/W2370685986","https://openalex.org/W2040168466","https://openalex.org/W4388805554","https://openalex.org/W2371292460","https://openalex.org/W2130313128","https://openalex.org/W7632529","https://openalex.org/W2382967792","https://openalex.org/W2316032560","https://openalex.org/W2097734592"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
