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https://hdl.handle.net/10316/11175| Title: | Limits as p(x) of p(x)-harmonic functions | Authors: | Manfredi, Juan J. Rossi, Julio D. Urbano, José Miguel |
Keywords: | p(x)-Laplacian; Infinity-Laplacian; Variable exponents; Viscosity solutions | Issue Date: | 2009 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 09-13 (2009) | Abstract: | In this note we study the limit as p(x) ! 1of solutions to − p(x)u = 0 in a domain , with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to +1 and analyzing how the corresponding solutions of the problem converge and what equation is satisfied by the limit. | URI: | https://hdl.handle.net/10316/11175 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Limits as p(x) of p(x)-harmonic functions.pdf | 166.74 kB | Adobe PDF | View/Open |
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