On a class of semilinear elliptic equations with boundary conditions and potentials which change sign

M. Ouanan and A. Touzani

Abstract and Applied Analysis, 2005, vol. 2005, issue 2, 95-104

Abstract: 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]; λ1 is the first eigenvalue of the Steklov problem. The proofs are based on the variational and min‐max methods.

Date: 2005
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https://doi.org/10.1155/AAA.2005.95

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:2:p:95-104

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