论文标题
准线性运算符管理的非异端自由传输问题
A non-isotropic free transmission problem governed by quasi-linear operators
论文作者
论文摘要
我们研究了一个自由传输问题,在该问题中,解决方案在功能的正和负相位中具有不同定义的功能。当扩散系数的跳跃沿自由边界变小时,我们证明了一些渐近规律性结果。最后,我们看到了与自由边界有关的量度理论结果。
We study a free transmission problem in which solution minimizes a functional with different definitions in positive and negative phase of function. We prove some asymptotic regularity results when the jumps of the diffusion coefficients gets smaller along the free boundary. At last, we see a measure theoretic result related to the free boundary.