Titre:	Existence of a least energy nodal solution for a class of quasilinear elliptic equations with exponential growth
Auteur(s):	Figueiredo, Giovany de Jesus Malcher Nunes, Fernando Bruno M.
metadata.dc.contributor.email:	mailto:giovany@unb.br
metadata.dc.contributor.affiliation:	Universidade de Brasília Universidade do Estado do Amapá
Assunto::	Solução nodal p-Laplaciano Equações quasilineares
Date de publication:	15-déc-2021
Editeur:	Division of Functional Equations, The Mathematical Society of Japan
Référence bibliographique:	FIGUEIREDO, Giovany M.; NUNES, Fernando Bruno M. Existence of a least energy nodal solution for a class of quasilinear elliptic equations with exponential growth. Funkcialaj Ekvacioj, Kobe, v. 64, n. 3, p. 293-322, 2021. DOI 10.1619/fesi.64.293. Disponível em: https://www.jstage.jst.go.jp/article/fesi/64/3/64_293/_article/-char/en. Acesso em: 03 nov. 2022.
Abstract:	In this paper we prove the existence of a least energy nodal (i.e. sign-changing) solution for a large class of quasilinear problem in a smooth bounded domain of Euclidean space. Moreover, we show that solution has exactly two nodal domains i.e. it changes sign exactly once in this domain. The proof is based on a minimization argument and a quantitative deformation lemma.
DOI:	https://doi.org/10.1619/fesi.64.293
metadata.dc.relation.publisherversion:	https://www.jstage.jst.go.jp/article/fesi/64/3/64_293/_article/-char/en
Collection(s) :	Artigos publicados em periódicos e afins

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