Spike-layer solutions to nonlinear fractional Schrodinger equations with almost optimal nonlinearities

In this article, we are interested in singularly perturbed nonlinear elliptic problems involving a fractional Laplacian. Under a class of nonlinearity which is believed to be almost optimal, we construct a positive solution which exhibits multiple spikes near any given local minimum components o...

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Bibliographic Details
Main Author: Jinmyoung Seok
Format: Article
Language:English
Published: Texas State University 2015-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/196/abstr.html