Semiclassical Standing Waves With Clustering Peaks for Nonlinear Schrodinger Equations

5b9b5f5ed55ff.jpg Author Jaeyoung Byeon and Kazunaga Tanaka
Isbn 9780821891636
File size 840.77KB
Year 2014
Pages 89
Language English
File format PDF
Category Mathematics

Book Description:

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 .

 

 

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