Journal of South China University of Technology (Natural Science Edition) ›› 2005, Vol. 33 ›› Issue (11): 111-114.

Previous Articles    

Eigenvalue Problem for p-Laplacian Equations with Critical Exponent

Shen Yao-tian  Li Zhou-xin   

  1. College of Mathematical Sciences,South China Univ.of Tech.,Guangzhou 510640,Guangdong,China
  • Received:2005-01-19 Online:2005-11-25 Published:2005-11-25
  • Contact: 沈尧天(1938-)，男，教授，博士生导师，主要从事偏微分方程的研究 E-mail:maytshen@scut.edu.cn
  • About author:沈尧天(1938-)，男，教授，博士生导师，主要从事偏微分方程的研究
  • Supported by:

    国家自然科学基金资助项目(10171032)；广东省自然科学基金资助项目(011606)

PDF

466

Abstract:

This paper discusses the eigenvalue problem for the p-Laplacian equation With critical exponent. By using the concentration compactness principle and the mountain pass theorem without the(PS)condition,the cha.racteristics of the eigenfunc.tion for the p-Laplacian equation aye investigated,thus obtaining the existence of a spe-cial engenfunction.

Key words: p-Laplacian equation, eigenvalue, critical exponent, concentration compactness principle