数学杂志2007，Vol.27Issue(6)：655-660,6.
Carnot群上一类半线性方程的Liouville型定理
A LIOUVILLE TYPE THEOREM OF SEMILINEAR EQUATIONS ON THE CARNOT GROUP
摘要
Abstract
In this paper, the existence problem of non negative solutions of semilinear subLaplace equation with superlinear nonhomogeneous term on the Carnot group is discussed.Combining the method that Birindelli et. als(see [4]) studied solutions by integral inequalities on the Heisenberg group and the quasihomogeneous analysis technique,a Liouville type theorem for the class of equations on the Carnot group is given.关键词
Liouville型定理/半线性方程/拟齐次分析法/Carnot群Key words
Liouville type theorem/ semilinear equation/ quasihomogeneneous analysis method/ Carnot group分类
数理科学引用本文复制引用
韩亚洲,罗学波,钮鹏程..Carnot群上一类半线性方程的Liouville型定理[J].数学杂志,2007,27(6):655-660,6.基金项目
The project supported by National Science Foundation of China (10371099) （10371099）
