In this article, we show the existence of ground state solutions for the nonlinear Schrodinger equation with fractional Laplacian
We use the concentration compactness principle in fractional Sobolev spaces for . Our results generalize the corresponding results in the case .
Submitted November 2, 2012. Published May 27, 2013.
Math Subject Classifications: 35J60, 35Q55.
Key Words: Fractional Laplacians; nonlinear Schrodinger equation; ground states; concentration compactness.
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| Binhua Feng |
School of Mathematics and Statistics, Lanzhou University
Lanzhou 730000, China
Tel: +86-0931-8912483; Fax: +86-0931-8912481
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