{"id":"https://openalex.org/W2287429560","doi":"https://doi.org/10.3233/asy-151347","title":"Standing waves for a system of nonlinear Schr\u00f6dinger equations in R N","display_name":"Standing waves for a system of nonlinear Schr\u00f6dinger equations in R N","publication_year":2016,"publication_date":"2016-02-12","ids":{"openalex":"https://openalex.org/W2287429560","doi":"https://doi.org/10.3233/asy-151347","mag":"2287429560"},"language":"en","primary_location":{"id":"doi:10.3233/asy-151347","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151347","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5065940783","display_name":"Jo\u00e3o Marcos do \u00d3","orcid":"https://orcid.org/0000-0001-7039-4365"},"institutions":[{"id":"https://openalex.org/I169045520","display_name":"Universidade Federal da Para\u00edba","ror":"https://ror.org/00p9vpz11","country_code":"BR","type":"education","lineage":["https://openalex.org/I169045520"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Jo\u00e3o Marcos do \u00d3","raw_affiliation_strings":["Department of Mathematics, Federal University of Para\u00edba, 58059-900 Jo\u00e3o Pessoa, PB, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Para\u00edba, 58059-900 Jo\u00e3o Pessoa, PB, Brazil","institution_ids":["https://openalex.org/I169045520"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055261386","display_name":"Ol\u0131\u0301mpio H. Miyagaki","orcid":"https://orcid.org/0000-0002-5608-3760"},"institutions":[{"id":"https://openalex.org/I101100930","display_name":"Universidade Federal de Juiz de Fora","ror":"https://ror.org/04yqw9c44","country_code":"BR","type":"education","lineage":["https://openalex.org/I101100930"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ol\u00edmpio H. Miyagaki","raw_affiliation_strings":["Department of Mathematics, Federal University of Juiz de Fora, 36036-330 Juiz de Fora, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Juiz de Fora, 36036-330 Juiz de Fora, MG, Brazil","institution_ids":["https://openalex.org/I101100930"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cl\u00e1udia Santana","orcid":null},"institutions":[{"id":"https://openalex.org/I3122449915","display_name":"Universidade Estadual de Santa Cruz","ror":"https://ror.org/01zwq4y59","country_code":"BR","type":"education","lineage":["https://openalex.org/I3122449915"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cl\u00e1udia Santana","raw_affiliation_strings":["Department of Exact Sciences and Technology, State University of Santa Cruz, 45662-900 Ilh\u00e9us, BA, Brazil","E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Exact Sciences and Technology, State University of Santa Cruz, 45662-900 Ilh\u00e9us, BA, Brazil","institution_ids":["https://openalex.org/I3122449915"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065940783"],"corresponding_institution_ids":["https://openalex.org/I169045520"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02824481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"96","issue":"3-4","first_page":"351","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9991999864578247,"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/T10514","display_name":"Numerical methods in engineering","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/bounded-function","display_name":"Bounded function","score":0.7873601317405701},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6877897381782532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5519324541091919},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5514640212059021},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.5365272760391235},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5331940650939941},{"id":"https://openalex.org/keywords/schr\u00f6dingers-cat","display_name":"Schr\u00f6dinger's cat","score":0.5248582363128662},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5096540451049805},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.4935704469680786},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4715832769870758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4464327394962311},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.320919394493103},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20009860396385193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.04757189750671387}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7873601317405701},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6877897381782532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5519324541091919},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5514640212059021},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5365272760391235},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5331940650939941},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.5248582363128662},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5096540451049805},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4935704469680786},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4715832769870758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4464327394962311},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.320919394493103},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20009860396385193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.04757189750671387},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-151347","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151347","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1481897077","https://openalex.org/W1484024929","https://openalex.org/W1502544153","https://openalex.org/W1508004954","https://openalex.org/W1580538836","https://openalex.org/W1998008832","https://openalex.org/W1999032725","https://openalex.org/W2001835483","https://openalex.org/W2007460600","https://openalex.org/W2009001334","https://openalex.org/W2024088260","https://openalex.org/W2051089144","https://openalex.org/W2054563910","https://openalex.org/W2054939373","https://openalex.org/W2058270372","https://openalex.org/W2071132730","https://openalex.org/W2121268694","https://openalex.org/W2198655720","https://openalex.org/W2332386327","https://openalex.org/W2509548217","https://openalex.org/W2779963854","https://openalex.org/W3021196877","https://openalex.org/W6629995119"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W1598955744","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2006389905","https://openalex.org/W2349865015"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"the":[5,16,48],"existence":[6],"of":[7,15],"bound":[8],"state":[9],"solutions":[10],"for":[11],"stationary":[12],"Schr\u00f6dinger":[13],"systems":[14],"form":[17],"\u2212\u0394u+V(x)u=K(x)Fu(u,v)in":[18],"RN,\u2212\u0394v+V(x)v=K(x)Fv(u,v)in":[19],"RN,":[20],"where":[21],"N\u2a7e3,":[22],"V":[23,51],"and":[24,31,36,64],"K":[25],"are":[26,57],"bounded":[27],"continuous":[28],"nonnegative":[29],"functions,":[30],"F(u,v)":[32],"is":[33],"a":[34,44],"C1":[35],"p-homogeneous":[37],"function":[38],"with":[39],"2