Regularity of the free boundary in a neighborhood of a contact point in the obstacle problem

被引：0

作者：

E. V. Zhelezina

机构：

来源：

Journal of Mathematical Sciences | 2000年 / 101卷 / 2期

关键词：

Variational Inequality; Contact Point; Elliptic Equation; Free Boundary; Elliptic Operator;

D O I：

10.1007/BF02672179

中图分类号：

学科分类号：

摘要：

The obstacle problem for an arbitrary linear elliptic equation is considered. The regularity of the boundary of the noncoincident set is studied in a neighborhood of a contact points of the boundary of a domain. The C1-regularity of the boundary and the continuity up to contact points of the second-order derivatives of the solution are proved. Bibliography: 3 titles.

引用

页码：2938 / 2940

页数：2

共 4 条

[1]

Ural'tseva N. N.(1997)Properties of a free boundary of the noncoincident set near points of contact with an unknown domain Zap. Nauchn. Semin. POMI 249 303-312

[2]

Ural'tseva N. N.(1997)-regularity of the boundary of the noncoincident set in the obstacle problem St. Petersburg Math. J. 8 341-353

[3]

Apushkinskaya D. E.(1995)On the behavior of a free boundary near the boundary of a domain Zap. Nauchn. Semin. POMI 221 5-19

[4]

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