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

N. Nyamoradi; M. Shekarbigi; A. Razlansari; M. Yavari

doi:10.4208/jpde.v26.n3.1

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

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Issue

Vol. 26 No. 3 (2013)

Section

Articles

How to Cite

The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms. (2013). Journal of Partial Differential Equations, 26(3), 193-216. https://doi.org/10.4208/jpde.v26.n3.1