论文标题
关于一类完全非线性流的第二个边界值问题iii
On the second boundary value problem for a class of fully nonlinear flows III
论文作者
论文摘要
我们研究了由特殊拉格朗日几何形状引起的拉格朗日平均曲率方程的第二个边界值问题的可溶性。通过抛物线方法，我们获得了光滑均匀凸溶液的存在和独特性，该解决方案概括了Brendle-Warren的定理，内容涉及欧几里得度量空间中的最小拉格朗日二型差异。
We study the solvability of the second boundary value problem of the Lagrangian mean curvature equation arising from special Lagrangian geometry. By the parabolic method we obtain the existence and uniqueness of the smooth uniformly convex solution, which generalizes the Brendle-Warren's theorem about minimal Lagrangian diffeomorphism in Euclidean metric space.
