By using the mountain pass lemma and a concentration compactness principle, we obtain the existence of positive solutions to the fractional elliptic problem with two critical Hardy-Sobolev exponents at the origin.
Submitted July 1, 2017. Published January 15, 2018.
Math Subject Classifications: 35J20, 35J60, 47G20.
Key Words: Fractional elliptic problems; mountain pass lemma; critical fractional Hardy-Sobolev exponent; concentration compactness principle.
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| Wenjing Chen |
School of Mathematics and Statistics
Chongqing 400715, China
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