Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11222
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Manfredi, Juan J. | - |
dc.contributor.author | Rossi, Julio D. | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2009-08-27T12:40:58Z | - |
dc.date.available | 2009-08-27T12:40:58Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Pré-Publicações DMUC. 08-46 (2008) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11222 | - |
dc.description.abstract | We study the Dirichlet problem −div(|∇u|p(x)−2∇u) = 0 in , with u = f on @ and p(x) = ∞ in D, a subdomain of the reference domain . The main issue is to give a proper sense to what a solution is. To this end, we consider the limit as n → ∞ of the solutions un to the corresponding problem when pn(x) = p(x)∧ n, in particular, with p = n in D. Under suitable assumptions on the data, we find that such a limit exists and that it can be characterized as the unique solution of a variational minimization problem. Moreover, we examine this limit in the viscosity sense and find an equation it satisfies. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | p(x)-Laplacian | en_US |
dc.subject | Infinity-Laplacian | en_US |
dc.subject | Viscosity solutions | en_US |
dc.title | p(x)-Harmonic functions with unbounded exponent in a subdomain | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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p(x)-Harmonic functions with unbounded exponent.pdf | 161.61 kB | Adobe PDF | View/Open |
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