论文标题
空间图，在Minkowski时空的外部域上具有平均曲率的规定平均曲率
Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
论文作者
论文摘要
我们考虑了Minkowski时空中的平均曲率操作员的一个差异问题，为存在带有规定的平均曲率的空间型解决方案获得了必要和足够的条件，这是定义在域上定义的函数的图形图形，等于$ \ Mathbb r^n $ \ alsbb r^n $ fimited lignite libite libite libite libite libite libite lipschitz domains lipschitz domains lipschitz domains lipschitz domains lipschitz domains lipschitz domains lipchitz domains dimains lipschitz domains dompchits domains。假定平均曲率$ h = h（x，t）$具有从上方控制的绝对值，由本地边界，$ l^p $ - 功能，$ p \ in [1,2n/（n+2）] $，$ n \ geq 3 $。
We consider a Dirichlet problem for the mean curvature operator in the Minkowski spacetime, obtaining a necessary and sufficient condition for the existence of a spacelike solution, with prescribed mean curvature, which is the graph of a function defined on a domain equal to the complement in $\mathbb R^n$ of the union of a finite number of bounded Lipschitz domains. The mean curvature $H=H(x,t)$ is assumed to have absolute value controlled from above by a locally bounded, $L^p$-function, $p\in [1,2n/(n+2)]$, $n\geq 3$.
