## Journal of Applied Mathematics

### Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions

Guanwei Chen

#### Abstract

We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 482740, 6 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305535

Digital Object Identifier
doi:10.1155/2014/482740

Mathematical Reviews number (MathSciNet)
MR3173330

Zentralblatt MATH identifier
07010648

#### Citation

Chen, Guanwei. Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions. J. Appl. Math. 2014 (2014), Article ID 482740, 6 pages. doi:10.1155/2014/482740. https://projecteuclid.org/euclid.jam/1425305535

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