Acta mathematica scientia, Series B >
THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH
Received date: 2016-02-09
Revised date: 2016-04-28
Online published: 2016-12-25
Supported by
Supported by NSFC (11371282, 11201196) and Natural Science Foundation of Jiangxi (20142BAB211002).
In this paper, we deal with the existence and multiplicity of solutions to the fractional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.
Jinguo ZHANG , Xiaochun LIU . THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH[J]. Acta mathematica scientia, Series B, 2016 , 36(6) : 1819 -1831 . DOI: 10.1016/S0252-9602(16)30108-4
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