Existence and uniqueness of solutions for Steklov problem with variable exponent

Open Access

Original research article

Author(s):

Anass Ourraoui

Department of Mathematics, LAMAO, University Mohamed I, FSO, Oujda, Morocco.

Advances in the Theory of Nonlinear Analysis and its Applications 5(1), 158-166.

Received: February 11, 2020

Accepted: February 10, 2021

Published: February 12, 2021

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

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APA Style

Ourraoui, A. (2021). Existence and uniqueness of solutions for Steklov problem with variable exponent. Advances in the Theory of Nonlinear Analysis and its Application, 5(1), 158-166.