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Your search keyword '"JAEYOUNG BYEON"' showing total 4 results
Start Over Author "JAEYOUNG BYEON" Journal communications in partial differential equations
4 results on '"JAEYOUNG BYEON"'

1. Standing Waves for Nonlinear Schrodinger Equations with a General Nonlinearity: One and Two Dimensional Cases

Author

Louis Jeanjean, Jaeyoung Byeon, Kazunaga Tanaka, Department of Mathematics, Pohang University of Science and Technology, Pohang, Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB), Université de Bourgogne (UB)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), and Department of Mathematics, School of Science and Engineering, Waseda University

Subjects
Applied Mathematics, 010102 general mathematics, Mathematical analysis, 01 natural sciences, Schrödinger equation, 010101 applied mathematics, Standing wave, Nonlinear system, symbols.namesake, Bound state, symbols, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, ComputingMilieux_MISCELLANEOUS, Analysis, Mathematics
Abstract

For N = 1,2, we consider singularly perturbed elliptic equations ϵ2Δ u − V(x) u + f(u)= 0, u(x)> 0 on R N , lim|x|→∞ u(x)= 0. For small ϵ > 0, we show the existence of a localized bound state solut...

Published
2008

2. SINGULARLY PERTURBED NONLINEAR NEUMANN PROBLEMS ON SYMMETRIC DOMAINS

Author

Jaeyoung Byeon

Subjects
Nonlinear system, Pure mathematics, Applied Mathematics, Bounded function, Domain (ring theory), Neumann boundary condition, Unit (ring theory), Analysis, Mathematics
Abstract

Consider the following semilinear Neumann problem: where Ω is a bounded smooth domain in R N , and ν is the unit outward normal to ∂Ω. We assume that 1 < p

Published
2001

4. 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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