Weak Harnack inequalities for eigenvalues and constant rank theorems
Weak Harnack inequalities for eigenvalues and constant rank theorems
复制标题
DOI：
10.1080/03605302.2021.1892755
复制
发表时间：
2020-10
影响因子：
1.9
通讯作者：
G'abor Sz'ekelyhidi;B. Weinkove
中科院分区：
文献类型：
--
作者：
G'abor Sz'ekelyhidi;B. Weinkove
摘要 我们考虑满足Bian和Guan结构条件的非线性椭圆方程的凸解。我们证明了这些解的 Hessian 特征值的弱 Harnack 不等式。这可以被视为常秩定理的定量版本。
Abstract We consider convex solutions of nonlinear elliptic equations which satisfy the structure condition of Bian and Guan. We prove a weak Harnack inequality for the eigenvalues of the Hessian of these solutions. This can be viewed as a quantitative version of the constant rank theorem.