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dc.contributor.authorLi, Shuoshuo-
dc.contributor.authorShen, Zifei-
dc.contributor.authorZhou, Jiazheng-
dc.date.accessioned2023-11-22T17:06:56Z-
dc.date.available2023-11-22T17:06:56Z-
dc.date.issued2021-
dc.identifier.citationLI, Shuoshuo; SHEN, Zifei; ZHOU, Jiazheng. Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues. Topol. Methods Nonlinear Anal, [s.l.], v. 58, n. 2, 2021. DOI: 10.12775/TMNA.2020.077. Disponível em: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-58/issue-2/Nonlocal-elliptic-equation-with-critical-exponential-growth-and-resonance-in/10.12775/TMNA.2020.077.full. Acesso em: 22 nov. 2023.pt_BR
dc.identifier.urihttp://repositorio2.unb.br/jspui/handle/10482/46893-
dc.description.sponsorshipFundação de Apoio à Pesquisa do Distrito Federal (FAP/DF).pt_BR
dc.language.isoengpt_BR
dc.publisherJuliusz P. Schauder Centre for Nonlinear Studiespt_BR
dc.rightsAcesso Abertopt_BR
dc.titleNonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvaluespt_BR
dc.typeArtigopt_BR
dc.subject.keywordEquação elípticapt_BR
dc.subject.keywordAutovalorespt_BR
dc.subject.keywordCrescimento exponencial críticopt_BR
dc.subject.keywordDesigualdade de Trudinger-Moserpt_BR
dc.rights.license© 2021 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Torun.pt_BR
dc.identifier.doi10.12775/TMNA.2020.077pt_BR
dc.relation.publisherversionhttps://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-58/issue-2/Nonlocal-elliptic-equation-with-critical-exponential-growth-and-resonance-in/10.12775/TMNA.2020.077.fullpt_BR
dc.description.abstract1In this paper we are interested in the following nonlocal elliptic equation [formula available in the document}, where an open Ω ⊂ R2 is bounded with smooth boundary. The nonlinearity g(x, s) has the critical exponential growth in the sense of the Trudinger–Moser inequality and λk denotes the kth eigenvalue of (−∆, H10(Ω)),k ≥ 2. Employing variational methods we prove the existence of a nontrivial solution for this nonlocal elliptic problem.pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-2182-7499pt_BR
dc.contributor.affiliationHuaibei Normal University, School of Mathematical Sciencespt_BR
dc.contributor.affiliationZhejiang Normal University, Department of Mathematicspt_BR
dc.contributor.affiliationUniversidade de Brasília, Departamento de Matemáticapt_BR
dc.description.unidadeInstituto de Ciências Exatas (IE)pt_BR
dc.description.unidadeDepartamento de Matemática (IE MAT)pt_BR
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