Existence Results for a Perturbed Problem Involving Fractional Laplacians

Yan Hu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We extend the results of Cabre and Sire (2011) to show the existence of layer solutions of fractional Laplacians with perturbed nonlinearity (−Δ) su = b(x)f(u) in ℝ with s ∈ (0,1). Here b is a positive periodic perturbation for f, and −f is the derivative of a balanced well potential G. That is, G ∈ C2,γ satisfies G(1) = G(−1)

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:548301

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