- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 1
- Existence and uniqueness of solutions for Steklov problem with variable exponent
Existence and uniqueness of solutions for Steklov problem with variable exponent
Authors : Anass Ourraoui
Pages : 158-166
Doi:10.31197/atnaa.688047
View : 6 | Download : 1
Publication Date : 2021-03-31
Article Type : Research
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.Keywords : Uniqueness of solution, $p(x)-$Laplacian operator, Boundary value problem