Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
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This paper is concerned with a singular elliptic system, which involves the Caffarelli-Kohn-Nirenberg inequality and multiple critical exponents. By analytic technics and variational methods, the extremals of the corresponding bet Hardy-Sobolev constant are found, the existence of positive solutions to the system is established and the asymptotic properties of solutions at the singular point are proved.
Keywordselliptic system nontrivial solution critical exponent variational method
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