Maximum principles for generalized solutions of quasi-linear elliptic equations

被引：0
作者：
Wang Xiang-dong
Xu Xiao-zeng
Liang Xi-ting
机构：
[1] Foshan University of Science and Technology,Faculty of Sciences
来源：
Applied Mathematics and Mechanics | 2003年 / 24卷 / 4期
关键词：
quasi-linear elliptic equation; generalized solution; maximum principle; O175.25; 35H30;
D O I：
10.1007/BF02439626
中图分类号：
学科分类号：
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
收藏
页码：458 / 467
页数：9
相关论文
共 17 条
[1]  
Morry CB(1959)Second order elliptic equations in several variables and Hölder continuity[J] Math Z 72 146-164
[2]  
Bicadze AB(1958)Some linear questios of linear partial differential equations[J] Advances in Mathematics 4 320-403
[3]  
Trudinger NS(1977)Maximum principles for linear nonniformly elliptic operators with measurable coefficients[J] Math Z 156 291-310
[4]  
Liang Xi-ting(1982)The weak maximum principle for gneralized solutions of second-order linear elliptic equations[J] Journal of Shanxi University (Nat Sci ED) 7 8-14
[5]  
Yu Ming-qi(1977)Regularity for a class of nonlinear elliptic systems[J] Acta Math 138 219-240
[6]  
Uhlenbeck K(1986)Boundedness and integrabity properties for generalized solutions of elliptic equations[J] Journal of Shanxi University (Nat Sci Ed) 9 115-130
[7]  
Liang Xi-ting(1989)The weak maximum principle for generalized solution of quasi-linear elliptic equations[J] Journal of Shanxi University (Nat Sci Ed) 12 240-248
[8]  
Yu Ming-qi(1988)The maximum principle for generalized solutions of quasi-linear elliptic equations [J] Acta Sci Nat Univ Sunyatsen 27 107-122
[9]  
Liang Xi-ting(1964)Local behavior of solutions of quasi-linear equation[J] Acta Math 111 247-302
[10]  
Liang Xi-ting(1967)On Harnack type inequalities and their applications to quasi-linear elliptic equations [J] Comm Pure Appl Math. 20 721-747
12