Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3
Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3
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DOI：
10.1512/iumj.2003.52.2341
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发表时间：
2003
影响因子：
1.1
通讯作者：
J. Bao;Jingyi Chen
中科院分区：
文献类型：
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作者：
J. Bao;Jingyi Chen
借助Reilly公式，我们得到了p > 3时3维特殊拉格朗日方程的加权迭代不等式和W 2,p凸强解的局部C 1,1估计，并证明这些解是光滑的。如果 p < 3，则正则性结果失败。
By means of the Reilly formula, we obtain a weighted iterative inequality and the local C 1,1 estimates of the W 2,p convex strong solutions to the special Lagrangian equations in dimension 3 for p > 3, and then prove that these solutions are smooth. The regularity result fails if p < 3.