Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (3): 703-712.doi: 10.1016/S0252-9602(14)60041-2

• Articles • Previous Articles     Next Articles

PERTURBATION METHODS IN SEMILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENT

LAN Yong-Yi, TANG Chun-Lei*   

  1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;School of Sciences, Jimei University, Xiamen 361021, China; School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
  • Received:2012-10-25 Revised:2013-08-25 Online:2014-05-20 Published:2014-05-20
  • About author:TANG Chun-Lei,tangcl@swu.edu.cn
  • Supported by:

    Supported by National Natural Science Foundation of China (11071198).

Abstract:

In this article, we deal with a class of semilinear elliptic equations which are perturbations of the problems with the critical Hardy-Sobolev exponent. Some existence results are given via an abstract perturbation method in critical point theory.

Key words: Critical Hardy-Sobolev exponent, semilinear elliptic equation, perturbation methods, positive radial solution

CLC Number: 

  • 35B33
Trendmd