Semi-linear Liouville theorems in the generalized Greiner vector fields

被引：0
作者：
Yazhou Han
Qiong Zhao
Yongyang Jin
机构：
[1] China Jiliang University,Department of Mathematics, College of Science
[2] Zhejiang University of Technology,Department of Applied Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2013年 / 44卷
关键词：
Vector field method; generalized greiner vector fields; Liouville theorem; semi-linear equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to study a class of semi-linear elliptic equation with principal part constructed by generalized Greiner vector fields. Using the idea of vector field method, we introduce a new functional for generalized Greiner vector fields. Through many identity deformations and accurate estimates, a class of Liouville type theorem is given. It improves the Liouville type theorem obtained by Niu etc., which can be seen in Canad. Math. Bull., 47(3), 417–430 (2004).
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页码：311 / 342
页数：31
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