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Your search keyword '"JAEYOUNG BYEON"' showing total 2 results
Start Over Author "JAEYOUNG BYEON" Publisher taylor & francis ltd
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1. Standing Waves for Nonlinear Schrodinger Equations with a General Nonlinearity: One and Two Dimensional Cases.

Author

Jaeyoung Byeon, Jeanjean, Louis, and Tanaka, Kazunaga

Subjects
*EQUATIONS, *SCHRODINGER equation, *PARTIAL differential equations, *SCHRODINGER operator, *MATHEMATICS
Abstract

For N = 1,2, we consider singularly perturbed elliptic equations ε2Δ u - V(x) u + f(u)= 0, u(x)> 0 on RN, lim|x|→∞u(x)= 0. For small ε > 0, we show the existence of a localized bound state solution concentrating at an isolated component of positive local minimum of V under conditions on f we believe to be almost optimal; when N ≥ 3, it was shown in Byeon and Jeanjean (2007). [ABSTRACT FROM AUTHOR]

Published
2008
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