Maximum principles for generalized solutions of quasi-linear elliptic equations

被引：0

作者：

Wang, XD ^{[1
]}

Xu, XZ ^{[1
]}

Liang, XT ^{[1
]}

机构：

[1] Foshan Univ Sci & Technol, Fac Sci, Foshan 528000, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 04期

关键词：

quasi-linear elliptic equation; generalized solution; maximum principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect. to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized solution of quasi-linear elliptic equations.

引用

页码：458 / 467

页数：10

共 14 条

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[2]

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[3]

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[4]

LADYZENSKAJA OA, 1973, LINEAR QUASILINEAR E

[5]

LIANG XT, 1988, ACTA SCI NAT U SUNYA, V27, P107

[6]

LIANG XT, 1982, J SHANXIE U, V7, P8

[7]

LIANG XT, 1990, APPL MATH MECH, V11, P941

[8]

LIANG XT, 1986, J SHANXIE U, V9, P115

[9]

MORREY C.B., 1959, MATH Z, V72, P146

[10] LOCAL BEHAVIOR OF SOLUTIONS OF QUASI-LINEAR EQUATIONS [J].

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ACTA MATHEMATICA, 1964, 111 (3-4) :247-302

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