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 of an exterior potential of the problem.
Submitted February 3, 2015. Published July 30, 2015.
Math Subject Classifications: 35J10, 35J20, 35J60.
Key Words: Fractional Laplacian; spike solutions; nonlinear Schrodinger equations.
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| Jinmyoung Seok |
Department of Mathematics
154-42 Gwanggyosan-ro, Yeongtong-gu
Suwon 443-760, Korea
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