Elliptic equations with critical and supercritical growth at the boundary

Veuillez utiliser cette adresse pour citer ce document : http://repositorio.unb.br/handle/10482/51043

Fichier(s) constituant ce document :

Il n'y a pas de fichiers associés à ce document.

Titre:	Elliptic equations with critical and supercritical growth at the boundary
Auteur(s):	Furtado, Marcelo Fernandes Oliveira, Rodolfo Ferreira de
metadata.dc.contributor.affiliation:	Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática
Date de publication:	2024
Editeur:	Elsevier
Référence bibliographique:	FURTADO, Marcelo Fernandes; OLIVEIRA, Rodolfo Ferreira de. Elliptic equations with critical and supercritical growth at the boundary. J. Math. Anual. Appl., [S. l.], v. 536. 2024. DOI: https://doi.org/10.1016/j.jmaa.2024.128177. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022247X24000982?via%3Dihub. Acesso em : 02 dez. 2024.
Abstract:	In this study, we consider two classes of elliptic problems with nonlinear boundary conditions of concave–convex type. In the first problem, we obtain two nonzero and nonnegative solutions when the nonlinear term exhibits critical growth. In the second problem, we obtain infinitely many solutions (with no prescribed sign) by assuming that the nonlinearity is even and subcritical near the origin but with no growth condition at infinity.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Licença::	© 2024 Elsevier Inc. All rights reserved.
DOI:	https://doi.org/10.1016/j.jmaa.2024.128177
Collection(s) :	Artigos publicados em periódicos e afins