SHAPE AND SMOOTHNESS OF FREE BOUNDARY FOR SOME ELLIPTIC VARIATIONAL INEQUALITIES

被引：5

作者：

FRIEDMAN, A ^{[1
]}

机构：

[1] NORTHWESTERN UNIV,CHICAGO,IL 60611

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1976年 / 25卷 / 02期

关键词：

D O I：

10.1512/iumj.1976.25.25009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The free boundary is considered of a variational inequality which is an integral over a cylinder defined in a domain D in n-dimensional real space. The case where D is a bounded domain is treated first. Similar results are then established for the case where D is the complement of a ball with the origin as center.

引用

页码：103 / 118

页数：16

共 10 条

[1]

[Anonymous], 1969, Quelques mthodes de rsolution de problemes aux limites non linaires

[2]

BAIOCCHI C, 1972, ANN MAT PUR APPL, V92, P107

[3]

BREZIS H, 1972, J MATH PURE APPL, V51, P1

[4]

Brezis H., 1974, Uspekhi Mat. Nauk, V29, P103

[5]

BREZIS HR, 1968, B SOC MATH FR, V96, P153

[6]

FREIDMAN A, 1964, PAETIAL DIFFERENRIAL

[7]

FRIEDMAN A, 1975, INDIANA U MATH J, V24, P1005, DOI 10.1512/iumj.1975.24.24086

[8]

FRIEDMAN A, 1973, ARCH RATION MECH AN, V52, P134, DOI 10.1007/BF00282324

[9]

GRISVARD P, 1968, ANN ECOLE NORM S, V2, P40

[10] ON REGULARITY OF SOLUTION OF A CARIATIONAL INEQUALITY [J].

LEWY, H ;

STAMPACCHIA, G .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1969, 22 (02) :153-+

← 1 →