Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator: -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in Ω, ∂u/∂ν=0, on ∂Ω. Under some appropriate conditions on the functions p, e, a, and f, we prove that there exists λ¯>0 such that any λ∈(0,λ¯)...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/632745 |
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