The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms

Authors

  • N. Nyamoradi Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
  • M. Shekarbigi Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
  • A. Razlansari Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
  • M. Yavari Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

DOI:

https://doi.org/10.4208/jpde.v26.n3.1

Keywords:

Nehari manifold;quasilinear elliptic equation;Sobolev critical exponent

Abstract

In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters \lambda belongs to a certain subset of R.

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Published

2013-09-01

Issue

Vol. 26 No. 3 (2013)

Section

Articles