数学物理学报 ›› 2015, Vol. 35 ›› Issue (1): 43-49.

• 论文 • 上一篇    下一篇

紧黎曼流形上的椭圆边界值问题

黄琴, 阮其华   

  1. 莆田学院数学学院 福建 莆田 351100
  • 收稿日期:2013-04-16 修回日期:2014-10-24 出版日期:2015-02-25 发布日期:2015-02-25
  • 基金资助:

    福建省自然科学基金(2012J01015)和福建省留学基金资助

Elliptic Boundary Value Problems on Compact Manifolds

 HUANG Qin, RUAN Qi-Hua   

  1. School of Mathematics, Putian University, Fujian Putian 351100
  • Received:2013-04-16 Revised:2014-10-24 Online:2015-02-25 Published:2015-02-25

摘要:

讨论一类非齐次非线性椭圆边界值问题. 利用极大值原理证明了该问题解的梯度估计. 作为它的应用得到了解的效率比估计.

关键词: 梯度估计 ,  极大值原理 ,  , 椭圆型方程

Abstract:

A class of inhomogeneous nonlinear elliptic boundary value problem is discussed on compact manifolds with a smooth boundary.
The maximum principles are used to obtain the gradient estimates for the solution of the  problem. As its application, we obtain the efficiency ratio estimate of the solution.

Key words: Gradient estimate ,  Maximum principle ,  Elliptic equation

中图分类号: 

  • 35J60