论文标题
罗宾问题的PDE比较原则
PDE Comparison Principles for Robin Problems
论文作者
论文摘要
我们比较了带有罗宾边界条件的球形壳中两个泊松问题的解，一个带有数据的解决方案，其中一个数据已对称。当罗宾参数为非负数时，我们表明对对称问题的解决方案具有较大（增加的）凸平均值。我们在球上证明了类似的结果。我们还证明了具有混合边界条件（Neumann和Robin）的广义圆柱体的比较原理。
We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data has been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger (increasing) convex means. We prove similar results on balls. We also prove a comparison principle on generalized cylinders with mixed boundary conditions (Neumann and Robin).
