{"id":"https://openalex.org/W2810578278","doi":"https://doi.org/10.3233/asy-181463","title":"Ground states for a linearly coupled system of Schr\u00f6dinger equations on RN","display_name":"Ground states for a linearly coupled system of Schr\u00f6dinger equations on RN","publication_year":2018,"publication_date":"2018-07-02","ids":{"openalex":"https://openalex.org/W2810578278","doi":"https://doi.org/10.3233/asy-181463","mag":"2810578278"},"language":"en","primary_location":{"id":"doi:10.3233/asy-181463","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-181463","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1807.03436","any_repository_has_fulltext":true},"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, Jo\u00e3o Pessoa, PB, Brazil. E-mail:\u00a0","Department of Mathematics, Federal University of Para\u00edba, Jo\u00e3o Pessoa, PB, Brazil. E-mail:\u00a0jmbo@pq.cnpq.br"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Federal University of Para\u00edba, Jo\u00e3o Pessoa, PB, Brazil. E-mail:\u00a0","institution_ids":["https://openalex.org/I169045520"]},{"raw_affiliation_string":"Department of Mathematics, Federal University of Para\u00edba, Jo\u00e3o Pessoa, PB, Brazil. E-mail:\u00a0jmbo@pq.cnpq.br","institution_ids":["https://openalex.org/I169045520"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034553336","display_name":"Jos\u00e9 Carlos de Albuquerque","orcid":"https://orcid.org/0000-0003-2273-6054"},"institutions":[{"id":"https://openalex.org/I4210132153","display_name":"Instituto Federal de Goi\u00e1s","ror":"https://ror.org/03gq9pd80","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210132153"]},{"id":"https://openalex.org/I68106152","display_name":"Universidade Federal de Goi\u00e1s","ror":"https://ror.org/0039d5757","country_code":"BR","type":"education","lineage":["https://openalex.org/I68106152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Carlos de Albuquerque","raw_affiliation_strings":["Institute of Mathematics and Statistics, Federal University of Goi\u00e1s, Goi\u00e1s, GO, Brazil. E-mail:\u00a0","Institute of Mathematics and Statistics, Federal University of Goi\u00e1s, Goi\u00e1s, GO, Brazil. E-mail:\u00a0joserre@gmail.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, Federal University of Goi\u00e1s, Goi\u00e1s, GO, Brazil. E-mail:\u00a0","institution_ids":["https://openalex.org/I68106152","https://openalex.org/I4210132153"]},{"raw_affiliation_string":"Institute of Mathematics and Statistics, Federal University of Goi\u00e1s, Goi\u00e1s, GO, Brazil. E-mail:\u00a0joserre@gmail.com","institution_ids":["https://openalex.org/I68106152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065940783"],"corresponding_institution_ids":["https://openalex.org/I169045520"],"apc_list":null,"apc_paid":null,"fwci":2.0775,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86073059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"108","issue":"4","first_page":"221","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9995999932289124,"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":0.9995999932289124,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ground-state","display_name":"Ground state","score":0.6934530735015869},{"id":"https://openalex.org/keywords/nehari-manifold","display_name":"Nehari manifold","score":0.676946759223938},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6754266023635864},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5905320048332214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5901731252670288},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5878432989120483},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5467551350593567},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49627619981765747},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3822709321975708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3454006314277649},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20060434937477112},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11727100610733032}],"concepts":[{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6934530735015869},{"id":"https://openalex.org/C40332964","wikidata":"https://www.wikidata.org/wiki/Q6987780","display_name":"Nehari manifold","level":3,"score":0.676946759223938},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6754266023635864},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5905320048332214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5901731252670288},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5878432989120483},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5467551350593567},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49627619981765747},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3822709321975708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3454006314277649},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20060434937477112},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11727100610733032},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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":2,"locations":[{"id":"doi:10.3233/asy-181463","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-181463","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"},{"id":"pmh:oai:arXiv.org:1807.03436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.03436","pdf_url":"https://arxiv.org/pdf/1807.03436","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1807.03436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.03436","pdf_url":"https://arxiv.org/pdf/1807.03436","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1511944115","https://openalex.org/W1588528702","https://openalex.org/W1866311589","https://openalex.org/W1963059945","https://openalex.org/W1964817082","https://openalex.org/W1964967661","https://openalex.org/W1968782046","https://openalex.org/W1971275429","https://openalex.org/W1977750299","https://openalex.org/W1978130745","https://openalex.org/W2065551600","https://openalex.org/W2086370159","https://openalex.org/W2088378389","https://openalex.org/W2129214830","https://openalex.org/W2142292023","https://openalex.org/W2163181731","https://openalex.org/W2279304877","https://openalex.org/W2495346723","https://openalex.org/W2509548217","https://openalex.org/W2511000923","https://openalex.org/W2779923930","https://openalex.org/W2916567905","https://openalex.org/W3021196877","https://openalex.org/W3141027763","https://openalex.org/W4232306901","https://openalex.org/W4239384103","https://openalex.org/W4292360407"],"related_works":["https://openalex.org/W2764298280","https://openalex.org/W2943004126","https://openalex.org/W2029715198","https://openalex.org/W2048971049","https://openalex.org/W3113175092","https://openalex.org/W4307357640","https://openalex.org/W3044866815","https://openalex.org/W4220938840","https://openalex.org/W3185569024","https://openalex.org/W4287071865"],"abstract_inverted_index":{"We":[0,25,54],"study":[1,61],"the":[2,37,44,62,71,86,103,131,140],"following":[3],"class":[4],"of":[5,73],"linearly":[6],"coupled":[7,104,141],"Schr\u00f6dinger":[8],"elliptic":[9],"systems":[10],"[Formula:":[11,15,18,22,40,46,51,65,80,89,98,113,133],"see":[12,16,19,23,41,47,52,66,81,90,99,114,134],"text]":[13,20,42,100],"where":[14],"text],":[17,48,67,91,135],"and":[21,68,92,136],"text].":[24,53,82,115],"consider":[26,85,130],"nonnegative":[27],"potentials":[28],"periodic":[29,32],"or":[30],"asymptotically":[31],"which":[33],"are":[34],"related":[35],"with":[36,56],"coupling":[38],"term":[39],"by":[43],"assumption":[45],"for":[49,77,111],"some":[50],"deal":[55],"three":[57],"cases:":[58],"Firstly,":[59],"we":[60,69,84,93,119,129,137,150],"subcritical":[63],"case,":[64,88],"prove":[70,94,138],"existence":[72],"positive":[74,107,145],"ground":[75,108],"state":[76,109],"all":[78,112],"parameter":[79],"Secondly,":[83],"critical":[87],"that":[95,102,139,148],"there":[96],"exists":[97],"such":[101],"system":[105,142],"possesses":[106],"solution":[110],"In":[116],"these":[117],"cases,":[118],"use":[120,151],"a":[121,152],"minimization":[122],"method":[123],"based":[124],"on":[125],"Nehari":[126],"manifold.":[127],"Finally,":[128],"case":[132],"has":[143],"no":[144],"solutions.":[146],"For":[147],"matter,":[149],"Pohozaev":[153],"identity":[154],"type.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2018-07-10T00:00:00"}