Moser-Trudinger type inequalities for the Hessian equation
Moser-Trudinger type inequalities for the Hessian equation
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DOI：
10.1016/j.jfa.2010.06.009
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发表时间：
2010-10
影响因子：
1.7
通讯作者：
Guji Tian;Xu-jia Wang
中科院分区：
文献类型：
--
作者：
Guji Tian;Xu-jia Wang
K-⩾2上的k-Hesse方程是一类散度型的完全非线性偏微分方程。1994年，第二作者证明了k-Hessian方程的一个Sobolev型不等式。本文证明了k-Hessian方程的Moser-Trudinger型不等式。
The k-Hessian equation for k⩾2 is a class of fully nonlinear partial differential equation of divergence form. A Sobolev type inequality for the k-Hessian equation was proved by the second author in 1994. In this paper, we prove the Moser–Trudinger type inequality for the k-Hessian equation.