Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

Domain Oscillation Criteria for a Forced Second Order Elliptic Differential Equations

Zhuang Rongkun;Yao Zhengan   

  1. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275
  • Received:2005-01-10 Revised:2006-11-28 Online:2007-10-25 Published:2007-10-25
  • Contact: Zhuang Rongkun

Abstract: In this paper, new oscillation criteria are obtained for nonlinear elliptic differential equations of the form
i,j=1n Di[Aij(x)Djy]+∑i=1n bi(x)Diy+q(x)f(y)=e(x)
where x∈ Rn. These criteria are only based on the information of a sequence of subdomain of Ω С Rnand different from most known ones.

Key words: Second order nonlinear elliptic equation, Forcing term, Oscillation, Domain criteria

CLC Number: 

  • 35B05
Trendmd