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Uniqueness of standing waves for nonlinear Schrödinger equations

Published online by Cambridge University Press:  08 October 2008

Jaeyoung Byeon
Affiliation:
Department of Mathematics, Pohang University of Science and Technology, San 31 Hyoja-dong, Nam-gu, Pohang, Kyungbuk 790-784, Republic of Korea ([email protected])
Yoshihito Oshita
Affiliation:
Department of Mathematics, Okayama University, 3-1-1 Tsushima-Naka, Okayama 700-8530, Japan ([email protected])

Extract

For m > 0 and p ∈ (1, (N + 2)/(N − 2)), we show the uniqueness and a linearized non-degeneracy of solutions for the following problem:

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2008

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