Maximum principles for a class of nonlinear elliptic boundary value problems

被引：0
|
作者：
Ding J.-T. [1 ]
Li S.-J. [1 ]
Hao J.-H. [1 ]
机构：
[1] School of Mathematical Sciences, Shanxi University
来源：
Acta Mathematicae Applicatae Sinica | 2005年 / 21卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Bounds of gradient; Maximam Principles; Nonlinear elliptic equations;
D O I：
10.1007/s10255-005-0244-9
中图分类号：
学科分类号：
摘要：
The Hopf's maximum principles are utilized to obtain maximum principles for functions defined on solutions of nonlinear elliptic equations in divergence form (g(u)u, i ), i +f(x, u, q) = 0 (q = |∇u| 2), subject to Dirichlet, Neumann or Robin boundary conditions. The principles derived may be used to deduce bounds on the gradient q. © Springer-Verlag 2005.
引用
收藏
页码：373 / 380
页数：7
相关论文
共 50 条
12345