On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains

Limei Dai , Jiguang Bao

Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 221 -230.

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 221 -230. DOI: 10.1007/s11464-011-0109-x
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On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains

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Abstract

In this paper, we obtain the uniqueness and existence of viscosity solutions with prescribed asymptotic behavior at infinity to Hessian equations in exterior domains.

Keywords

Hessian equation / uniqueness / existence / viscosity solution / exterior domain

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Limei Dai, Jiguang Bao. On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains. Front. Math. China, 2011, 6(2): 221-230 DOI:10.1007/s11464-011-0109-x

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