数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (4): 572-576.

• 论文 • 上一篇    

THE OPIAL INEQUALITY IN RN

 邓引斌   

  1. College of Mathematical and Statistics Science, Wuhan University, Wuhan 430072, China
  • 出版日期:2001-10-06 发布日期:2001-10-06
  • 基金资助:

    The research supported by Natural Science Fundation of China and the Excellent Teachers Fundation of Ministry of Education of China

THE OPIAL INEQUALITY IN RN

 DENG Yin-Bin   

  1. College of Mathematical and Statistics Science, Wuhan University, Wuhan 430072, China
  • Online:2001-10-06 Published:2001-10-06
  • Supported by:

    The research supported by Natural Science Fundation of China and the Excellent Teachers Fundation of Ministry of Education of China

PDF (PC)

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摘要：

This paper discusses the minimal eigenvalue 1(p, q,) and its best estimate of the following nonlinear eigenvalue problem −pu = |u|q−2 u, u|@
 = 0. Where   is a bounded smooth domain in RN,p is the p-laplace operator, p  2, q 2 [p, Np N−p ). By this result, the famous Opial inequality in RN are deduced.

关键词: Opial inequality, eigenvalue, p-laplace

Abstract:

This paper discusses the minimal eigenvalue 1(p, q,) and its best estimate of the following nonlinear eigenvalue problem −pu = |u|q−2 u, u|@
 = 0. Where   is a bounded smooth domain in RN,p is the p-laplace operator, p  2, q 2 [p, Np N−p ). By this result, the famous Opial inequality in RN are deduced

Key words: Opial inequality, eigenvalue, p-laplace

中图分类号: 

  • 35J10
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