论文标题
Minkowski问题是由亚线性椭圆方程引起的
Minkowski problem arising from sub-linear elliptic equations
论文作者
论文摘要
对于任何有界的凸域Ωinr^n，我们为ω中的su-blinear椭圆方程的解决方案分配了一个正数有限的孔尺寸。我们证明，从尊重Hausdorff度量的衡量意义上，这一措施是弱连续的，与此措施相关的Minkowski问题是可以唯一解决的。
For any bounded convex domain Ωin R^N, we assign a positive finite Borel measure associated with the solution to a su-blinear elliptic equation in Ω. We prove that this measure is weakly continuous in the sense of measure with respect Hausdorff metric, and the Minkowski problem associated with this measure is uniquely solvable.
