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Título:
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Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities
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Autor/a:
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Serra Montolí, Joaquim
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
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Abstract:
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We prove a radial symmetry result for bounded nonnegative solutions to the p-Laplacian semilinear equation −Δpu=f(u) posed in a ball of Rn and involving discontinuous nonlinearities f. When p=2 we obtain a new result which holds in every dimension n for certain positive discontinuous f. When p⩾n we prove radial symmetry for every locally bounded nonnegative f. Our approach is an extension of a method of P.L. Lions for the case p=n=2. It leads to radial symmetry combining the isoperimetric inequality and the Pohozaev identity. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
-Radial symmetry
-Symmetry (Mathematics)
-Simetria (Matemàtica) |
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Derechos:
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Tipo de documento:
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Artículo - Versión publicada
Artículo |
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