Analysis and Numerical Results of p-Laplacian Effect on Steklov Neumann Problems

Abstract

This paper explains how to obtain the existence and uniqueness of weak solutions for the weighted p-Laplacian boundary problem of Steklov and Neumann, relying on Browder’s theorem under conditions of the monotonous function f. The paper also discusses the behavior of the problems through the numerical results. Additionally, to illustrate the effectiveness of our approach, examples of both linear and nonlinear equations are presented.