Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues

Li, Shuoshuo; Shen, Zifei; Zhou, Jiazheng

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Li, Shuoshuo	-
dc.contributor.author	Shen, Zifei	-
dc.contributor.author	Zhou, Jiazheng	-
dc.date.accessioned	2023-11-22T17:06:56Z	-
dc.date.available	2023-11-22T17:06:56Z	-
dc.date.issued	2021	-
dc.identifier.citation	LI, 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.uri	http://repositorio2.unb.br/jspui/handle/10482/46893	-
dc.description.sponsorship	Fundação de Apoio à Pesquisa do Distrito Federal (FAP/DF).	pt_BR
dc.language.iso	eng	pt_BR
dc.publisher	Juliusz P. Schauder Centre for Nonlinear Studies	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação elíptica	pt_BR
dc.subject.keyword	Autovalores	pt_BR
dc.subject.keyword	Crescimento exponencial crítico	pt_BR
dc.subject.keyword	Desigualdade de Trudinger-Moser	pt_BR
dc.rights.license	© 2021 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Torun.	pt_BR
dc.identifier.doi	10.12775/TMNA.2020.077	pt_BR
dc.relation.publisherversion	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	pt_BR
dc.description.abstract1	In 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.orcid	https://orcid.org/0000-0003-2182-7499	pt_BR
dc.contributor.affiliation	Huaibei Normal University, School of Mathematical Sciences	pt_BR
dc.contributor.affiliation	Zhejiang Normal University, Department of Mathematics	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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