Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
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- Kang, D. & Peng, S. Sci. China Math. (2011) 54: 243. doi:10.1007/s11425-010-4131-3
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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.