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Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity
Authors:Jaeyoung Byeon  Louis Jeanjean
Affiliation:1.Department of Mathematics,Pohang University of Science and Technology,Pohang,Republic of Korea;2.Equipe de Mathématiques (UMR CNRS 6623),Université de Franche-Comt,Besan?on,France
Abstract:For elliptic equations ε2ΔuV(x) u + f(u) = 0, xR N , N ≧ 3, we develop a new variational approach to construct localized positive solutions which concentrate at an isolated component of positive local minimum points of V, as ε → 0, under conditions on f which we believe to be almost optimal. An erratum to this article can be found at
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