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Mediterranean Journal of Mathematics

, Volume 13, Issue 6, pp 4679–4691 | Cite as

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

  • S. Benmansour
  • A. Matallah
Article
  • 84 Downloads

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.

Keywords

Variational methods critical Caffarelli–Kohn–Nirenberg exponent singular weights Nehari manifold Palais–Smale condition 

Mathematics Subject Classification

35A15 35B25 35B33 35J60 

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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.Laboratoire des Systèmes Dynamiques et Applications, Département de MathématiquesUniversité Aboubekr Belkaid TlemcenTlemcenAlgeria

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