Behrouz Emamizadeh, Mohsen Zivari-Rezapour
Abstract:
In this article, we consider the case of equality in a well known
inequality for the p-Laplacian due to Giorgio Talenti.
Our approach seems to be simpler than the one by Kesavan [6].
We use a result from rearrangement optimization to prove
the main result in this article. Some physical interpretations
are also presented.
Submitted June 14, 2011. Published December 13, 2011.
Math Subject Classifications: 35J62, 35P30, 35Q74, 35A99, 49J20.
Key Words: Talenti's inequality; p-Laplacian operator;
elastic membrane; rearrangement maximization;
unique optimal solution.
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Behrouz Emamizadeh Department of Mathematical Sciences Xi'an Jiaotong-Liverpool University Suzhou, Jiangsu 215123 China email: Behrouz.Emamizadeh@xjtlu.edu.cn | |
Mohsen Zivari-Rezapour Faculty of Mathematical and Computer Sciences Shahid Chamran University, Ahvaz, Iran email: mzivari@scu.ac.ir |
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