MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

被引：0

作者：

王向东

徐小增

梁廷

机构：

[1] FacultyofSciences

[2] FoshanUniversityofScienceandTechnology

[3] FoshanUniversityofScienceandTechnology Foshan

[4] Guangdong

[5] PRChina

[6] Foshan

来源：

Applied Mathematics and Mechanics(English Edition) | 2003年 / 04期

关键词：

quasi_linear elliptic equation; generalized solution; maximum principleFORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS$$$$ LUO Shao_kai 1,2,3 (1.Institute of Mathematical Mechanics and Mathema;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

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 quasilinear elliptic equations.

引用

页码：458 / 467

页数：10

共 5 条

[1] A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS [J].

梁延 ;

王向东 .

AppliedMathematicsandMechanics(EnglishEdition), 1990, (10) :941-953

[2]

Regularity for a class of non-linear elliptic systems[J] . K. Uhlenbeck.Acta Mathematica . 1977 (1)

[3]

Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients[J] . Neil S. Trudinger.Mathematische Zeitschrift . 1977 (3)

[4]

Local behavior of solutions of quasi-linear equations[J] . James Serrin.Acta Mathematica . 1964 (1)

[5]

Second order elliptic equations in several variables and H?lder continuity[J] . Charles B. Morrey.Mathematische Zeitschrift . 1959 (1)

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