Electron. J. Diff. Equ., Vol. 2012 (2012), No. 32, pp. 1-15.

Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions

Ghasem A. Afrouzi, Nguyen Thanh Chung, Somayeh Mahdavi

Abstract:
In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic systems with non-standard growth conditions. Our results extend the results in El Hamidi [9] to the anisotropic case.

Submitted January 5, 2012. Published February 23, 2012.
Math Subject Classifications: 35D05, 35J60, 35J70, 58E05, 68T40, 76A02.
Key Words: Anisotropic elliptic system; non-standard growth condition; variational method; existence; multiplicity.

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Ghasem Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Nguyen Thanh Chung
Department of Mathematics and Informatics, Quang Binh University
312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam
email: ntchung82@yahoo.com
Somayeh Mahdavi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: smahdavi@umz.ac.ir

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