A Constant Rank Theorem for Quasiconcave Solutions of Fully Nonlinear Partial Differential Equations
A Constant Rank Theorem for Quasiconcave Solutions of Fully Nonlinear Partial Differential Equations
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DOI：
10.1512/iumj.2011.60.4222
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发表时间：
2011
影响因子：
1.1
通讯作者：
B. Bian;Pengfei Guan;Xinan Ma;Lu Xu
中科院分区：
文献类型：
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作者：
B. Bian;Pengfei Guan;Xinan Ma;Lu Xu
在Bianchini-Longinetti-Salani在[2]中引入的结构条件下，证明了方程F (D(2)u, Du, u, x) = 0凸水平面的第二基本形式的常秩定理。
We prove a constant rank theorem for the second fundamental form of the convex level surfaces of solutions to equations F (D(2)u, Du, u, x) = 0 under a structural condition introduced by Bianchini-Longinetti-Salani in [2].