Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian

Abstract

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.