Existence and uniqueness of solutions for a nonlinear equation with convection term
Analysis of PDEs
2021-05-19 v1
Abstract
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. With the topological degree theory, we prove the existence of at least one weak solution under some Leray-Lions and growth conditions. Moreover, we obtain the uniqueness of the solution of the problem under some additional assumptions. Our results generalize and improve existing results with another approach.
Keywords
Cite
@article{arxiv.2105.08525,
title = {Existence and uniqueness of solutions for a nonlinear equation with convection term},
author = {Mustapha Ait Hammou},
journal= {arXiv preprint arXiv:2105.08525},
year = {2021}
}