Schwarz rearrangement does not decrease the energy for the pseudo p-Laplacian operator
It is well known that the Schwarz symmetrization decrease the energyfor the p-Laplacian operator, i.eint_{overline{Omega}}|∇u|^p dx ≥ int_{overline{Omega^*}}|∇u^⋆|p dx,where u⋆ is the Schwarz rearranged function of u, for appropriate u and Omega. In this note, we shall proof that the Schwarz rearran...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2011-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/10428/6195 |