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.
Original language | English |
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Journal | Electronic Journal of Differential Equations |
Volume | 2011 |
Publication status | Published - 2011 |
Keywords
- Elastic membrane
- P-Laplacian operator
- Rearrangement maximization
- References
- Talenti's inequality
- Unique optimal solution