Boundary Regularity and Nontransversal Intersection for the Fully Nonlinear Obstacle Problem

Boundary Regularity and Nontransversal Intersection for the Fully Nonlinear Obstacle Problem
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全非线性障碍问题的边界正则性和非横向交集

DOI:
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发表时间:
2017
影响因子:
3
通讯作者:
E. Indrei
E. Indrei
中科院分区:
数学1区
文献类型:
--
作者:
E. Indrei

文献摘要

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本文给出了完全非线性一致椭圆算子障碍问题在自由边界与固定边界相交处爆破解的分类。因此,非横截相交在任何维度上都成立。还得到了一些正则性结果。© 2019 Wiley Periodicals,Inc.
In this paper a classification is given of blowup solutions at the intersection of the free and fixed boundary corresponding to obstacle problems generated by fully nonlinear, uniformly elliptic operators. As a consequence, nontransversal intersection is shown to hold in any dimension. Several regularity results are also obtained. © 2019 Wiley Periodicals, Inc.