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Existence of multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations with potentials vanishing at infinity

Published online by Cambridge University Press:  08 July 2009

Ohsang Kwon
Ohsang Kwon
Affiliation:
Department of Mathematics, POSTECH, Pohang, Kyungbuk 790784, Republic of Korea ([email protected])
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Abstract

For a singularly perturbed nonlinear elliptic equation ε2Δu − V(x)u + up = 0, x ∈ ℝN, there are solutions concentrating around critical points of V with different energy scales with respect to small ε > 0. We combine the solutions when .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 4 , August 2009 , pp. 833 - 852
Copyright
Copyright © Royal Society of Edinburgh 2009

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