Radial Symmetry of Large Solutions of Semilinear Elliptic Equations with Convection
Abstract
We study radial symmetry of large solutions of the semi-linear elliptic problem u + ∇ h.∇ u = f(|x|,u), and we provide sharp conditions under which the problem has a radial solution. The result is independent of the rate of growth of the solution at infinity.
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