Existence and multiplicity of positive solutions to elliptic systems involving critical exponents |
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| Authors: | Li Wang |
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| Institution: | a School of Mathematics and Statistics, Central China Normal University, PR China
b School of Mathematics and Statistics, South-Central University for Nationalities, PR China |
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| Abstract: | In this paper, a singular elliptic system involving multiple critical exponents and the Caffarelli-Kohn-Nirenberg inequality is investigated. By using the extremals of the best Hardy-Sobolev constants, the existence and multiplicity of positive solutions to the system are established. |
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| Keywords: | Elliptic system Positive solution Critical exponent Variational method |
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