Existence of Multiple Solutions for a p-Laplacian System in ℝN with Sign-changing Weight Functions

Abstract

AbstractIn this paper, we consider the quasi-linear elliptic problemwhere and the weight H(x); h1(x); h2(x) are continuous functions that change sign in ℝN. We will prove that the problem has at least two positive solutions by using the Nehari manifold and the fibering maps associated with the Euler functional for this problem.