Journal of Convex Analysis 29 (2022), No. 1, 291--320
Copyright Heldermann Verlag 2022
Existence of Solutions for a Class of Nonlocal Problems Driven by an Anisotropic Operator via Sub-Supersolutions
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
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.
Keywords: Fixed point, nonlocal problems, anisotropic operator.
MSC: 35J60; 35Q53.
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