Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2021 / Cilt: 5 - Sayı: 1

Existence and uniqueness of solutions for Steklov problem with variable exponent

Pages
158–166
DOI
—

Abstract

In this article, we give some results on the existence and uniqueness of solutions concerned a class of elliptic problems involving $p(x)-$Laplacian with Steklov boundary condition. We give also some sufficient conditions to assure the existence of a positive solution.