Existence of Multiple Positive Radial Solutions for $p$-Laplacian Problems with an L1-Indefinite Weight

Abstract

In this paper we study the existence, multiplicity and nonexistence of positive solutions for $p$-Laplacian problems with $L^1$-indefinite weight. As an application, we give some existence and multiplicity results for Emden-Fowler type $p$-Laplacian radial problems defined on an exterior domain depending on the boundary value which plays the role of a parameter.