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arxiv: 1112.4665 · v1 · pith:5JVMT6WYnew · submitted 2011-12-20 · 🧮 math.AP

On the exterior Dirichlet problem for Hessian equations

Jiguang Bao , Haigang Li , Yanyan Li This is my paper
classification 🧮 math.AP
keywords equationshessiandirichletexteriorproblemasymptoticbehaviorcaffarelli
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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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