We consider the boundary Hardy-Henon equation -Delta u = (1 - vertical bar x vertical bar)(alpha) u(p), x is an element of B-1(0), where B-1(0) subset of R-N (N >= 3) is a ball of radial 1 centred at 0, p > 0 and alpha is an element of R. We are concerned with the estimate, existence and nonexistence of positive solutions of the equation, in particular, the equation with Dirichiet boundary condition. For the case 0 1, we give some conclusions with respect to nonexistence. When alpha > -2 and 1 -2, we give some results with respect to existence and uniqueness of positive solutions.
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