Ghasem A. Afrouzi, Maryam Mirzapour, Qihu Zhang
Abstract:
This article concerns special properties of the principal
eigenvalue of a nonlinear elliptic system with
Dirichlet boundary conditions. In particular, we show
the simplicity of the first eigenvalue of
with respect to the exponents p and q, where
is
a bounded domain in
.
Submitted November 3, 2011. Published January 12, 2012.
Math Subject Classifications: 35J60, 35B30, 35B40.
Key Words: Eigenvalue problem; quasilinear operator;
simplicity; stability.
An addendum was posted on July 21, 2016. It states that some parts were copied from reference [6] without mentioning the source. See the last page of this article.
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Ghasem Alizadeh Afrouzi Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir | |
Maryam Mirzapour Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email mirzapour@stu.umz.ac.ir | |
Qihu Zhang Department of Mathematics and Information Science Zhengzhou University of Light Industry Zhengzhou, Henan 450002, China email: zhangqh1999@yahoo.com.cn |
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