A two-phase obstacle-type problem for the p-Laplacian

被引：0

作者：

Anders Edquist

Erik Lindgren

机构：

[1] Royal Institute of Technology,Department of Mathematics

来源：

Calculus of Variations and Partial Differential Equations | 2009年 / 35卷

关键词：

35J70; 35J60; 35J85;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the so-called two-phase obstacle-type problem for the p-Laplacian when p is close to 2. We introduce a new method to obtain the optimal growth of the function from branch points, i.e. two-phase points in the free boundary where the gradient vanishes. As a by-product we can locally estimate the (n − 1)-Hausdorff-measure of the free boundary for the special case when p > 2.

引用

页码：421 / 433

页数：12

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