论文标题
在Sobolev函数梯度的对称重排上
On the symmetric rearrangement of the gradient of a Sobolev function
论文作者
论文摘要
在本文中，我们将解决方案的解决方案的经典比较结果推广到具有差点边界条件的汉密尔顿 - 雅各布方程，并将其介绍给具有非零边界迹线的汉密尔顿 - 雅各比方程的解决方案。结果，我们证明了扭转刚度（具有罗宾边界条件）以及涉及此类边界条件的其他功能的等速度不平等。
In this paper, we generalize a classical comparison result for solutions to Hamilton-Jacobi equations with Dirichlet boundary conditions, to solutions to Hamilton-Jacobi equations with non-zero boundary trace. As a consequence, we prove the isoperimetric inequality for the torsional rigidity (with Robin boundary conditions) and for other functionals involving such boundary conditions.
