On the exterior Dirichlet problem for Hessian equations

Published 20 Dec 2011 in math.AP | (1112.4665v1)

Abstract: In this paper, we establish a theorem on the existence of the solutions of the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity. This extends a result of Caffarelli and Li for the Monge-Amp`{e}re equation to Hessian equations.

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