A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations
A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations
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DOI：
10.1142/s0219199721500012
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发表时间：
2019-07
影响因子：
1.6
通讯作者：
Y. He;Hao Sheng;N. Xiang
中科院分区：
文献类型：
--
作者：
Y. He;Hao Sheng;N. Xiang
我们考虑Pogorelov估计和Liouville型定理抛物[公式：见正文]-海森方程的形式[公式：见正文]在[公式：见正文]。我们推导出当[Formula：see text]满足二次增长且[Formula：see text]必须是[Formula：see text]的线性函数加上[Formula：see text]的二次多项式时[Formula：see text]的任何[Formula：see text]-凸-单调解。
We consider Pogorelov estimates and Liouville-type theorems to parabolic [Formula: see text]-Hessian equations of the form [Formula: see text] in [Formula: see text]. We derive that any [Formula: see text]-convex-monotone solution to [Formula: see text] when [Formula: see text] satisfies a quadratic growth and [Formula: see text] must be a linear function of [Formula: see text] plus a quadratic polynomial of [Formula: see text].