论文标题

特征值和恒定等级定理的弱竖琴不平等现象弱

Weak Harnack inequalities for eigenvalues and constant rank theorems

论文作者

Székelyhidi, Gábor, Weinkove, Ben

论文摘要

我们考虑了满足双基因结构条件的非线性椭圆方程的凸解。对于这些解决方案的Hessian的特征值,我们证明了薄弱的Harnack不平等。这可以看作是常数等级定理的定量版本。

We consider convex solutions of nonlinear elliptic equations which satisfy the structure condition of Bian-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.

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