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Start Over Author "Byeon, Jaeyoung" Topic equations Journal communications in partial differential equations
1 results on '"Byeon, Jaeyoung"'

1. Existence of Multi-bump Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations.

Author

Byeon, Jaeyoung and Oshita, Yoshihito

Subjects
*STANDING waves, *WAVES (Physics), *EQUATIONS, *PARTIAL differential equations, *DIFFERENTIAL equations, *BESSEL functions
Abstract

For elliptic equations of the form ε² Δu - V(x)u + up = 0, x ∈ RN, where the potential V satisfies lim inf¦x¦→∞ V(x) > infRN V(x) = 0, we prove the existence of new kinds of solutions, corresponding to semi-classical standing waves for nonlinear Schrödinger equations, with several local maximum points whose local maximum values are of different scales with respect to ε → 0. [ABSTRACT FROM AUTHOR]

Published
2004
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