Journal
NONLINEARITY
Volume 26, Issue 2, Pages 479-494Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/26/2/479
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Funding
- NSFC Grant [11101178]
- NSFJP Grant [201215184]
- 985 Program of Jilin University
- Science Research Foundation for Excellent Young Teachers of College of Mathematics at Jilin University
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This paper focuses on the following scalar field equation involving a fractional Laplacian: (-Delta)(alpha)u = g(u) in R-N, where N >= 2, alpha is an element of (0, 1), (-Delta)(alpha) stands for the fractional Laplacian. Using some minimax arguments, we obtain a positive ground state under the general Berestycki-Lions type assumptions.
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