Multiple Solutions for Nonhomogeneous Elliptic Equations Involving Critical Caffarelli–Kohn–Nirenberg Exponent

Abstract

In this paper, we consider a nonhomogeneous singular elliptic equation involving a critical Caffarelli–Kohn–Nirenberg exponent. Using Ekeland’s Variational Principle, the Mountain Pass Lemma and the Nehari manifold, we establish the existence of at least two solutions.