EXISTENCE AND BEHAVIOR OF POSITIVE SOLUTIONS TO ELLIPTIC SYSTEM WITH HARDY POTENTIAL

In this article, we study a class of elliptic systems with Hardy potentials. We analyze the possible behavior of radial solutions to the system when p, t > 1, q, s > 0 and λ, μ > (N − 2)2/4, and obtain the existence of positive solutions to the system with the Dirichlet boundary condition under certain conditions. When λ, μ ≤ 0, p, t > 1 and q, s > 0, we show that any radial positive solution is decreasing in r.

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