Existence of Solutions for a Class of Nonlocal Problems Driven by an Anisotropic Operator via Sub-Supersolutions

Giovany M. Figueiredo; Gelson C. G. Dos Santos; Leandro S. Tavares

Abstract

We consider some anisotropic problems involving nonlocal terms. New results are provided involving sub-supersolutions for the anisotropic spaces setting. Then some applications are considered.

Author information

Contact details are reproduced from the original publication and may be historical.

Giovany M. Figueiredo

Dep. de Matemática, Universidade de Brasília, Brasília, Brazil

giovany@unb.br

Gelson C. G. Dos Santos

Faculdade de Matemática, Universidade Federal do Pará, Belém, Brazil

gelsonsantos@ufpa.br

Leandro S. Tavares

Centro de Ciências e Tecnologia, Universidade Federal do Cariri, Juazeiro do Norte, Brazil

leandro.tavares@ufca.edu.br

Keywords

Fixed point
nonlocal problems
anisotropic operator

Mathematics Subject Classification

35J60; 35Q53

Suggested citation

G. M. Figueiredo, G. C. G. Dos Santos, L. S. Tavares. “Existence of Solutions for a Class of Nonlocal Problems Driven by an Anisotropic Operator via Sub-Supersolutions.” Journal of Convex Analysis 29 (2022), No. 1, 291–320.