Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation

Siyuan Li

doi:10.1155/2016/4649150

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Home > Journals > J. Appl. Math. > Volume 2016 > Article

2016 Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation

Siyuan Li

J. Appl. Math. 2016: 1-5 (2016). DOI: 10.1155/2016/4649150

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Abstract

Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on ${\mathbb{S}}^{n}$ .