Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 43-49.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 35J60
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