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http://hdl.handle.net/2445/96448
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DC Field | Value | Language |
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dc.contributor.author | Sanchón, Manel | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2016-03-14T12:17:09Z | - |
dc.date.available | 2016-03-14T12:17:09Z | - |
dc.date.issued | 2009-12 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/96448 | - |
dc.description.abstract | We consider a Dirichlet problem in divergence form with variable growth, modeled on the $ p(x)$-Laplace equation. We obtain existence and uniqueness of an entropy solution for $ L^1$ data, as well as integrability results for the solution and its gradient. The proofs rely crucially on a priori estimates in Marcinkiewicz spaces with variable exponent, for which we obtain new inclusion results of independent interest. | - |
dc.format.extent | 19 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-09-04399-2 | - |
dc.relation.ispartof | Transactions of the American Mathematical Society, 2009, vol. 361, num. 12, p. 6387-6405 | - |
dc.relation.uri | http://dx.doi.org/10.1090/S0002-9947-09-04399-2 | - |
dc.rights | (c) American Mathematical Society (AMS), 2009 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Equacions en derivades parcials | - |
dc.subject.classification | Operadors el·líptics | - |
dc.subject.classification | Anàlisi funcional no lineal | - |
dc.subject.other | Partial differential equations | - |
dc.subject.other | Elliptic operator | - |
dc.subject.other | Nonlinear functional analysis | - |
dc.title | Entropy solutions for the $p(x)$-Laplace equations | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 569721 | - |
dc.date.updated | 2016-03-14T12:17:14Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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569721.pdf | 308.98 kB | Adobe PDF | View/Open |
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