Jinmyoung Seok
Abstract:
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 Kyonggi University 154-42 Gwanggyosan-ro, Yeongtong-gu Suwon 443-760, Korea email: jmseok@kgu.ac.kr |
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