Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity |
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| Authors: | Jaeyoung Byeon Louis Jeanjean |
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| Institution: | 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 |
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| Abstract: | For elliptic equations ε2Δu − V(x) u + f(u) = 0, x ∈ R
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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