数学物理学报 ›› 2012, Vol. 32 ›› Issue (3): 566-575.

• 论文 • 上一篇    下一篇

Hessian商方程具有渐近性质的整体解

代丽美|秦国红   

  1. 潍坊学院 数学与信息科学学院 山东潍坊 261061
  • 收稿日期:2010-07-05 修回日期:2011-08-08 出版日期:2012-06-25 发布日期:2012-06-25
  • 基金资助:

    山东省优秀中青年科学家科研奖励基金(BS2011SF025)资助

Entire Solutions with Asymptotic Behavior of Hessian Quotient Equations

 DAI Li-Mei, QIN Guo-Hong   

  1. School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061
  • Received:2010-07-05 Revised:2011-08-08 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    山东省优秀中青年科学家科研奖励基金(BS2011SF025)资助

摘要:

利用Perron方法证明了Rn中的Hessian商方程在无穷远处具有渐近性质的整体粘性解的存在性.

关键词: Hessian商方程, 整体解, 渐近性

Abstract:

In this paper, the authors use the Perron method to prove the existence of viscosity solutions with asymptotic behavior at infinity to Hessian quotient equations in Rn.

Key words: Hessian quotient equations, Entire solutions, Asymptotic behavior

中图分类号: 

  • 35J60