Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term

In this paper, we prove the existence of four nontrivial solutions of a elliptic equation with a Hardy singularity and show that at least one of them is sign changing. Our results extend some previous works on the literature, as Tarantello(1993), Kang-Deng(2005) and Hirano-Shioji(2005).

Bibliographic Details
Main Author: Chen, Jianqing (author)
Other Authors: Rocha, Eugénio M. (author)
Format: article
Language:eng
Published: 2016
Subjects:
Variational methods
Inhomogeneous Laplacian equation
Singular term
Four solutions
Sign changing solution
Online Access:http://hdl.handle.net/10773/15056
Country:Portugal
Oai:oai:ria.ua.pt:10773/15056
Description
Summary:In this paper, we prove the existence of four nontrivial solutions of a elliptic equation with a Hardy singularity and show that at least one of them is sign changing. Our results extend some previous works on the literature, as Tarantello(1993), Kang-Deng(2005) and Hirano-Shioji(2005).

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