数学物理学报 ›› 2014, Vol. 34 ›› Issue (6): 1532-1541.

• 论文 • 上一篇    下一篇

p-Laplacian 扰动对称泛函无穷多个临界点的存在性

徐嘉|代国伟   

  1. 西北师范大学 数学与统计学院 兰州 730070
  • 收稿日期:2013-02-17 修回日期:2014-06-16 出版日期:2014-12-25 发布日期:2014-12-25
  • 基金资助:

    国家自然科学基金(11261052,  11201378, 11401477)资助

Infinitely Many Critical Points of Perturbed Symmetric Functionals Involving p-Laplacian

 |XU Jia, DAI Guo-Wei   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070
  • Received:2013-02-17 Revised:2014-06-16 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    国家自然科学基金(11261052,  11201378, 11401477)资助

摘要:

借助于临界点理论证明了两类扰动拟线性椭圆问题无穷多解的存在性

关键词: 临界点, p-Laplacian, 非对称扰动

Abstract:

By means of critical points theory, we prove the existence of infinitely many solutions for two classes of perturbed symmetric elliptic equations involving p-Laplacian

Key words: Critical points, p-Laplacian, Nonsymmetric perturbation

中图分类号: 

  • 35J20