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Semiclassical standing waves with clustering peaks for nonlinear Schrodinger equations

Name: Semiclassical standing waves with clustering peaks for nonlinear Schrodinger equations
ISBN: 9780821891636

Jaeyoung Byeon, Kazunaga Tanaka

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The authors study the following singularly perturbed problem: - 2 ?u V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities f

類別:

Mathematics

年:

2014

出版商:

Amer Mathematical Society

語言:

english

頁數:

104

ISBN 10:

0821891634