On the exterior Dirichlet problem for Hessian equations

Details On the exterior Dirichlet problem for Hessian equations On the exterior Dirichlet problem for Hessian equations

2011-12-20

arxiv.org/abs/1112.4665v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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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