Behrouz Emamizadeh, Mohsen Zivari-Rezapour
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 . 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.
Show me the PDF file (212 KB), TEX file, and other files for this article.
| Behrouz Emamizadeh |
Department of Mathematical Sciences
Xi'an Jiaotong-Liverpool University
Suzhou, Jiangsu 215123 China
| Mohsen Zivari-Rezapour |
Faculty of Mathematical and Computer Sciences
Shahid Chamran University, Ahvaz, Iran
Return to the EJDE web page