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Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities
dc.contributor.author | Serra Montolí, Joaquim |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-10-09T14:50:00Z |
dc.date.created | 2013-02-15 |
dc.date.issued | 2013-02-15 |
dc.identifier.citation | Serra, J. Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities. "Journal of differential equations", 15 Febrer 2013, vol. 254, núm. 4, p. 1893-1902. |
dc.identifier.issn | 0022-0396 |
dc.identifier.uri | http://hdl.handle.net/2117/20352 |
dc.description.abstract | 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. |
dc.format.extent | 10 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Radial symmetry |
dc.subject.lcsh | Symmetry (Mathematics) |
dc.title | Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities |
dc.type | Article |
dc.subject.lemac | Simetria (Matemàtica) |
dc.identifier.doi | 10.1016/j.jde.2012.11.015 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0022039612004469 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 11233181 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Serra, J. |
local.citation.publicationName | Journal of differential equations |
local.citation.volume | 254 |
local.citation.number | 4 |
local.citation.startingPage | 1893 |
local.citation.endingPage | 1902 |
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