Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11376
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sanchón, Manel | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2009-09-14T08:38:08Z | - |
dc.date.available | 2009-09-14T08:38:08Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Pré-Publicações DMUC. 06-02 (2006) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11376 | - |
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 L1 data, extending the work of B´enilan et al. [5] to nonconstant exponents, 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 | en_US |
dc.description.sponsorship | CMUC/FCT and MCYT grants BMF2002- 04613-C03, MTM2005-07660-C02 (first author); CMUC/FCT and Project POCI/MAT/57546/2004 (second author) | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.title | Entropy solutions for the p(x)-Laplace equation | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
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Entropy solutions for the p(x)-Laplace equation.pdf | 151.9 kB | Adobe PDF | View/Open |
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