Electron. J. Diff. Equ., Vol. 2012 (2012), No. 169, pp. 1-18.

Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms

Nemat Nyamoradi, Mohamad Javidi

Abstract:
This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms. Using the effect of the coefficient of the critical nonlinearity, and a variational method, we establish the main result which is based on a compactness argument.

Submitted May 17, 2012. Published October 4, 2012.
Math Subject Classifications: 35B33, 35J60, 35J65.
Key Words: Ekeland variational principle; critical Hardy-Sobolev exponent; concentration-compactness principle.

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Nemat Nyamoradi
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: nyamoradi@razi.ac.ir, neamat80@yahoo.com
Mohamad Javidi
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: mo_javidi@yahoo.com

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