论文标题

较低阶段的各向异性椭圆方程的凸对称性

Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term

论文作者

Piscitelli, Gianpaolo

论文摘要

我们使用总变化,coarea公式,等仪不平等的“广义”版本,以获得较低级术语的各向异性椭圆方程的溶液(以及它们的梯度)的尖锐估计值,并将其与溶液与convex对称的溶液进行比较。

We use "generalized" version of total variation, coarea formulas, isoperimetric inequalities to obtain sharp estimates for solutions (and for their gradients) to anisotropic elliptic equations with a lower order term, comparing them with the solutions to the convex symmetrized ones.

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