p(x)-Harmonic functions with unbounded exponent in a subdomain
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)...
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| Other Authors: | , |
| Format: | other |
| Language: | eng |
| Published: |
2008
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10316/11222 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11222 |