论文标题
生成的雅各布方程的不同解决方案不能相交
Distinct solutions to generated Jacobian equations cannot intersect
论文作者
论文摘要
我们证明，如果生成的jacobian方程在$ω$中相交的第二个边界值问题的两个$ c^{1,1}（ω）$解决方案，则它们是相同的解决方案。此外，我们将此结果扩展到$ c^{2}（\OverlineΩ）$ solutions通过目标域上的附加凸条件在边界上相交。
We prove that if two $C^{1,1}(Ω)$ solutions of the second boundary value problem for the generated Jacobian equation intersect in $Ω$ then they are the same solution. In addition we extend this result to $C^{2}(\overlineΩ)$ solutions intersecting on the boundary, via an additional convexity condition on the target domain.
