On a class of semilinear elliptic equations with boundary conditions and potentials which change sign
We study the existence of nontrivial solutions for the problem Δu=u, in a bounded smooth domain Ω⊂ℝℕ, with a semilinear boundary condition given by ∂u/∂ν=λu−W(x)g(u), on the boundary of the domain, where W is a potential changing sign, g has a superlinear growth condition, and the parameter λ∈]0,λ1]...
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| Main Authors: | M. Ouanan, A. Touzani |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.95 |
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