数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (4): 487-.

• 论文 • 上一篇    下一篇

SOME EXISTENCE RESULTS OF SOLUTIONS FOR p-LAPLACIAN

 陈志辉, 沈尧天, 姚仰新   

  1. Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China,
  • 出版日期:2003-10-06 发布日期:2003-10-06
  • 基金资助:

    Supported by the National Natural Science Foundation
    of China(10171032) and the Guangdong Provincial Natural Science Foundation of China(011606).

SOME EXISTENCE RESULTS OF SOLUTIONS FOR p-LAPLACIAN

 CHEN Zhi-Hui, CHEN Yao-Tian, TAO Ang-Xin   

  1. Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China,
  • Online:2003-10-06 Published:2003-10-06
  • Supported by:

    Supported by the National Natural Science Foundation
    of China(10171032) and the Guangdong Provincial Natural Science Foundation of China(011606).

摘要:

In this paper the Dirichlet problem for p-Laplacian (p > 1) is considered.
Under suitable conditions and by using critical point theory the existence of solutions for
the Dirichlet problem is studied, and some results in the literature are improved.

关键词: p-Laplacian, critical point, (PSC) condition

Abstract:

In this paper the Dirichlet problem for p-Laplacian (p > 1) is considered.
Under suitable conditions and by using critical point theory the existence of solutions for
the Dirichlet problem is studied, and some results in the literature are improved.

Key words: p-Laplacian, critical point, (PSC) condition

中图分类号: 

  • 35J60