Titre:	Nonlocal elliptic equation with critical exponential growth and resonance in high-order eigenvalues
Auteur(s):	Li, Shuoshuo Shen, Zifei Zhou, Jiazheng
metadata.dc.identifier.orcid:	https://orcid.org/0000-0003-2182-7499
metadata.dc.contributor.affiliation:	Huaibei Normal University, School of Mathematical Sciences Zhejiang Normal University, Department of Mathematics Universidade de Brasília, Departamento de Matemática
Assunto::	Equação elíptica Autovalores Crescimento exponencial crítico Desigualdade de Trudinger-Moser
Date de publication:	2021
Editeur:	Juliusz P. Schauder Centre for Nonlinear Studies
Référence bibliographique:	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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Licença::	© 2021 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Torun.
DOI:	10.12775/TMNA.2020.077
metadata.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
Agência financiadora:	Fundação de Apoio à Pesquisa do Distrito Federal (FAP/DF).
Collection(s) :	Artigos publicados em periódicos e afins

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