Existence and Localization Results for p(x)-Laplacian via Topological Methods
We show the existence of a week solution in W01,p(x)(Ω) to a Dirichlet problem for −Δp(x)u=f(x,u) in Ω, and its localization. This approach is based on the nonlinear alternative of Leray-Schauder.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/120646 |
| Summary: | We show the existence of a week solution in W01,p(x)(Ω) to a Dirichlet problem for −Δp(x)u=f(x,u) in Ω, and its localization. This approach is based on the nonlinear alternative of Leray-Schauder. |
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| ISSN: | 1687-1820 1687-1812 |