Minimizers to Rayleigh quotients of critical elliptic systems involving different Hardy-type terms |
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| Affiliation: | School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, PR China |
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| Abstract: | In this paper, a system of semilinear elliptic equations is investigated, which involves homogeneous critical nonlinearities and different Hardy-type terms. By variational methods, the existence of minimizers to the Rayleigh quotient and ground state solutions to the system is verified completely. |
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| Keywords: | Elliptic system Critical nonlinearity Hardy-type term Minimizer to Rayleigh quotient |
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