{"id":"https://openalex.org/W4281773719","doi":"https://doi.org/10.3390/axioms11060282","title":"The Existence of Radial Solutions to the Schr\u00f6dinger System Containing a Nonlinear Operator","display_name":"The Existence of Radial Solutions to the Schr\u00f6dinger System Containing a Nonlinear Operator","publication_year":2022,"publication_date":"2022-06-10","ids":{"openalex":"https://openalex.org/W4281773719","doi":"https://doi.org/10.3390/axioms11060282"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11060282","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060282","pdf_url":"https://www.mdpi.com/2075-1680/11/6/282/pdf?version=1654856006","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/6/282/pdf?version=1654856006","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065176807","display_name":"Guotao Wang","orcid":"https://orcid.org/0000-0001-7197-8581"},"institutions":[{"id":"https://openalex.org/I94310126","display_name":"Shanxi Normal University","ror":"https://ror.org/03zd3ta61","country_code":"CN","type":"education","lineage":["https://openalex.org/I94310126"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guotao Wang","raw_affiliation_strings":["School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China","institution_ids":["https://openalex.org/I94310126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003345932","display_name":"Zhuobin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I94310126","display_name":"Shanxi Normal University","ror":"https://ror.org/03zd3ta61","country_code":"CN","type":"education","lineage":["https://openalex.org/I94310126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuobin Zhang","raw_affiliation_strings":["School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China","institution_ids":["https://openalex.org/I94310126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010322780","display_name":"Zedong Yang","orcid":"https://orcid.org/0000-0002-9903-5216"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zedong Yang","raw_affiliation_strings":["College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065176807"],"corresponding_institution_ids":["https://openalex.org/I94310126"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3556,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46695443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"6","first_page":"282","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9988999962806702,"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":0.9988999962806702,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9983999729156494,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9980000257492065,"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/bounded-function","display_name":"Bounded function","score":0.7877407073974609},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7751912474632263},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7410910725593567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5992130637168884},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5421738028526306},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.4788360893726349},{"id":"https://openalex.org/keywords/schr\u00f6dingers-cat","display_name":"Schr\u00f6dinger's cat","score":0.47103387117385864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4551257789134979},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4432426691055298},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38745877146720886},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2146207094192505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1975671947002411},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05309876799583435},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05166971683502197}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7877407073974609},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7751912474632263},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7410910725593567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5992130637168884},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5421738028526306},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.4788360893726349},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.47103387117385864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4551257789134979},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4432426691055298},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38745877146720886},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2146207094192505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1975671947002411},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05309876799583435},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05166971683502197},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11060282","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060282","pdf_url":"https://www.mdpi.com/2075-1680/11/6/282/pdf?version=1654856006","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1b572ea2fadc4564856a87b2e19e3dec","is_oa":true,"landing_page_url":"https://doaj.org/article/1b572ea2fadc4564856a87b2e19e3dec","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 6, p 282 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/6/282/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11060282","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 6; Pages: 282","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11060282","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060282","pdf_url":"https://www.mdpi.com/2075-1680/11/6/282/pdf?version=1654856006","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281773719.pdf","grobid_xml":"https://content.openalex.org/works/W4281773719.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W632971018","https://openalex.org/W773092436","https://openalex.org/W1513785951","https://openalex.org/W1965079283","https://openalex.org/W1990270637","https://openalex.org/W2009618784","https://openalex.org/W2017170882","https://openalex.org/W2023868857","https://openalex.org/W2031691366","https://openalex.org/W2039900734","https://openalex.org/W2041401719","https://openalex.org/W2043135610","https://openalex.org/W2061700639","https://openalex.org/W2069757819","https://openalex.org/W2077809475","https://openalex.org/W2078128198","https://openalex.org/W2083421003","https://openalex.org/W2120467300","https://openalex.org/W2562855676","https://openalex.org/W2581659885","https://openalex.org/W2601688613","https://openalex.org/W2620996053","https://openalex.org/W2749452183","https://openalex.org/W2793124666","https://openalex.org/W2948495130","https://openalex.org/W2964076242","https://openalex.org/W2964166076","https://openalex.org/W2967095285","https://openalex.org/W2971475305","https://openalex.org/W2990512229","https://openalex.org/W3005681821","https://openalex.org/W3013413730","https://openalex.org/W4211017614","https://openalex.org/W6622400589","https://openalex.org/W6630719209","https://openalex.org/W6660646778","https://openalex.org/W6739390947","https://openalex.org/W6775109678","https://openalex.org/W6782627318"],"related_works":["https://openalex.org/W1982226988","https://openalex.org/W2060388431","https://openalex.org/W2021047968","https://openalex.org/W2340858455","https://openalex.org/W2067194619","https://openalex.org/W3201545804","https://openalex.org/W138734637","https://openalex.org/W1976203099","https://openalex.org/W4281773719","https://openalex.org/W4229455382"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,65],"investigate":[4],"a":[5,12],"class":[6],"of":[7,31,54],"nonlinear":[8,13],"Schr\u00f6dinger":[9],"systems":[10],"containing":[11],"operator":[14],"under":[15,37],"Osgood-type":[16],"conditions.":[17],"By":[18],"employing":[19],"the":[20,23,32,38,55,60],"iterative":[21],"technique,":[22],"existence":[24],"conditions":[25],"for":[26],"entire":[27],"positive":[28],"radial":[29],"solutions":[30],"above":[33],"problem":[34],"are":[35,45,50],"given":[36],"cases":[39],"where":[40],"components":[41,56],"\u03bc":[42,47],"and":[43,48,52],"\u03bd":[44,49],"bounded,":[46,58],"blow-up,":[51],"one":[53],"is":[57,62],"while":[59],"other":[61],"blow-up.":[63],"Finally,":[64],"present":[66],"two":[67],"examples":[68],"to":[69],"verify":[70],"our":[71],"results.":[72]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-06-13T00:00:00"}