Limits as p(x) of p(x)-harmonic functions
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 equa...
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| Outros Autores: | , |
| Formato: | other |
| Idioma: | eng |
| Publicado em: |
2009
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| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10316/11175 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11175 |
| Resumo: | 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. |
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