Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 15, Issue 3, Pages 991-1008Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2016.15.991
Keywords
Fractional Schrodinger equations; harmonic extension; concentration-compactness principle; ground state solution; critical Sobolev exponent
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Funding
- NSFC [11501403]
- Shanxi Province Science Foundation [2013021001-3]
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In this paper, we establish the existence of ground state solutions for fractional Schrodinger equations with a critical exponent. The methods used here are based on the s-harmonic extension technique of Caffarelli and Silvestre, the concentration-compactness principle of Lions and methods of Brezis and Nirenberg.
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