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

Limei DAI, Jiguang BAO

PDF(138 KB)
PDF(138 KB)
Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 221-230. DOI: 10.1007/s11464-011-0109-x
RESEARCH ARTICLE
RESEARCH ARTICLE

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 Chin, 2011, 6(2): 221‒230 https://doi.org/10.1007/s11464-011-0109-x

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