3 papers
math.AP2021
Existence and uniqueness of solutions for a nonlinear equation with convection term
Mustapha Ait Hammou
In this paper, we consider the existence and uniqueness of weak solutions of a nonlinear elliptic equation with a variable exponent, a monotonic type operator and a convection term…
math.AP2019
Nonlinear problem involving the fractional p(x)-Laplacian operator by Topological degree
Mustapha Ait Hammou
This paper is concerned with the study of a nonlinear problems involving the fractional p(x)-Laplacian operator. By means of the Berkovits degree theory, we prove the existence of…
math.AP2019
Dirichlet boundary value problem related to the Laplacian with discontinuous nonlinearity
Mustapha Ait Hammou
In this paper, we prove the existence of a weak solution for the Dirichlet boundary value problem related to the Laplacian $$ -\mbox{div}(|\nabla u|^{p(x)-2}\nabla u)+u\in -…