ON THE REGULARITY OF THE MINIMUM SOLUTION OF THE RESTRAINED VARIATIONAL-PROBLEMS

被引：0

作者：

SHEN, YT

GUO, XK

机构：

[1] S CHINA UNIV TECH,DEPT APPL MATH,CANTON 510641,PEOPLES R CHINA

[2] GUANGXI UNIV,INST MATH,NANNING 530004,PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1993年 / 13卷 / 03期

关键词：

D O I：

10.1016/S0252-9602(18)30216-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the regularity of minimum solution u of the following functional L(u) = integral(Omega) a alpha(beta)(x)g(ij)(u)D alpha u(i)D(beta)upsilon(i)dx on the restraint E = {u is an element of W-0(1,2) (Omega, R(N))\parallel to u parallel to L(D) = 1}. Under appropriate conditions, the bounded minimum solution u of the above functional is proved to be nothing but Holder continuous.

引用

页码：266 / 272

页数：7