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