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

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

Year:    2013

Author:    M. Yavari, N. Nyamoradi, M. Shekarbigi, A. Razlansari, M. Yavari

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 3 : pp. 193–216

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 3 : pp. 193–216

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Nehari manifold

Author Details

M. Yavari

N. Nyamoradi

M. Shekarbigi

A. Razlansari

M. Yavari