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包含Caffarelli-Kohn-Nirenberg临界指数的非齐次椭圆方程

樊自安   

  1. 湖北工程学院数学与统计学院 湖北孝感 432000
  • 收稿日期:2014-06-12 修回日期:2015-05-22 出版日期:2015-10-25 发布日期:2015-10-25
  • 作者简介:樊自安,fza2006@163.com
  • 基金资助:

    湖北省教育厅科研计划项目(B2015032)资助

On Nonhomogeneous Elliptic Equations Involving Caffarelli-Kohn-Nirenberg Critical Exponent

Fan Zi-an   

  1. Department of Mathematics, Hubei Engineering University, Hubei Xiaogan 432000
  • Received:2014-06-12 Revised:2015-05-22 Online:2015-10-25 Published:2015-10-25

摘要:

该文讨论了一类包含Caffarelli-Kohn-Nirenberg临界指数的非齐次椭圆方程解的存在性.应用Nehari流形和变分方法,得到了方程存在两个非平凡解.

关键词: Caffarelli-Kohn-Nirenberg临界指数, 非齐次椭圆方程, Nehari流形, 非平凡解

Abstract:

This paper discusses one nonhomogeneous elliptic equations involving Caffarelli-Kohn-Nirenberg critical exponent. By Nehari manifold and Variational methods, we prove that the equation has at least two nontrivial solutions.

Key words: Caffarelli-Kohn-Nirenberg critical exponent, Nonhomogeneous elliptic equations, Nehari manifold, Nontrivial

中图分类号: 

  • O175.2