数学杂志2018，Vol.38Issue(1)：8-24,17.
Heisenberg群上一类具变号权函数的拟线性次椭圆型方程的Nehari流形方法
THE NEHARI MANIFOLD FOR A QUSILINEAR SUB-ELLIPTIC EQUATION WITH A SIGN-CHANGING WEIGHT FUNCTION ON THE HEISENBERG GROUP
陈南博 1涂强1
作者信息
- 1. 武汉大学数学与统计学院, 湖北武汉 430072
- 折叠
摘要
Abstract
In this paper, we investigate the Dirichlet problem for the following quasilinear sub-elliptic equation on the Heisenberg group ??H,pu = λf(ξ)|u|p?2u+g(ξ)|u|r?2u. Using the Nehari manifold and fibrering maps, we obtain the existence and multiplicity results of positive weak solution of the equation and show how existence results for positive solutions of the equation are linked to properties of the Nehari manifold, which generalize the corresponding results in Euclidean space.关键词
Heisenberg群/Nehari流形/纤维映射/次p-Laplacian/不定加权函数Key words
Heisenberg group/Nehari manifold/fibrering maps/sub-p-Laplacian/indefinite weight functions分类
数理科学引用本文复制引用
陈南博,涂强..Heisenberg群上一类具变号权函数的拟线性次椭圆型方程的Nehari流形方法[J].数学杂志,2018,38(1):8-24,17.
