Abstract
We study a system of elliptic equations, which involves p-Laplacian operator, strongly coupled critical nonlinearities and different Hardy-type terms. By ODE analysis methods, the asymptotic properties at the origin and infinity of radially symmetric and strictly decreasing solutions to the system are proved completely. It is found that the properties of solutions depend not only on the coefficients of Hardy terms but also on the exponents of coupled critical terms. The conclusions are new even in the case of p=2.
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