| 摘要: |
| 本文研究了特殊拉格朗日算子的逆凸性型不等式,并证明了在某些条件下具有非常数相位的特殊拉格朗日方程凸解的常秩定理. |
| 关键词: 特殊拉格朗日方程 常秩定理 逆凸性 |
| DOI： |
| 分类号:O175.25 |
| 基金项目: |
|
| A NOTE OF THE CONSTANT RANK THEOREM FOR CONVEX SOLUTIONS OF SPECIAL LAGRANGIAN EQUATION |
|
LI Zheng-xu
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School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
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| Abstract: |
| In this paper, we establish an inverse convexity type inequality of special Lagrangian operator, and prove a constant rank theorem for convex solutions of special Lagrangian equations with nonconstant phase under certain conditions. |
| Key words: special Lagrangian equation constant rank theorem inverse convexity |
