Abstract and Applied Analysis

Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in R N

Zhiying Deng and Yisheng Huang

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Abstract

This paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in R N . By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the potentials and parameters.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 430976, 14 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049872

Digital Object Identifier
doi:10.1155/2014/430976

Mathematical Reviews number (MathSciNet)
MR3283408

Zentralblatt MATH identifier
07022380

Citation

Deng, Zhiying; Huang, Yisheng. Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in ${\mathbb{R}}^{N}$. Abstr. Appl. Anal. 2014 (2014), Article ID 430976, 14 pages. doi:10.1155/2014/430976. https://projecteuclid.org/euclid.aaa/1425049872


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