Electron. J. Differential Equations, Vol. 2020 (2020), No. 25, pp. 1-19.

Sub-super solution method for nonlocal systems involving the p(x)-Laplacian operator

Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro S. Tavares

Abstract:
In this article we study the existence of solutions for nonlocal systems involving the p(x)-Laplacian operator. The approach is based on a new sub-super solution method.

Submitted April 9, 2019. Published March 19, 2020.
Math Subject Classifications: 35J60.
Key Words: Fixed point argument; nonlocal problem; p(x)-Laplacian; sub-super solutions.
DOI: 10.58997/ejde.2020.25

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Gelson C. G. dos Santos
Universidade Federal do Pará
Faculdade de Matemática
CEP: 66075-110, Belém - PA, Brazil
email: gelsonsantos@ufpa.br
Giovany M. Figueiredo
Universidade de Brasília
Departamento de Matemática
CEP: 70910-900, Brasília - DF, Brazil
email: giovany@unb.br
Leandro S. Tavares
Universidade Federal do Cariri
Centro de Ciências e Tecnologia
CEP: 63048-080, Juazeiro do Norte - CE, Brazil
email: leandro.tavares@ufca.edu.br

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