Heisenberg群上次椭圆p-Laplace方程的增长性估计(英文)  

Growth estimates to subelliptic p-Laplace equations on Heisenberg group

作　　者：刘海峰[1] 钮鹏程[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《中国科学院研究生院学报》2007年第1期18-24,共7页Journal of the Graduate School of the Chinese Academy of Sciences

基　　金：supported by the National Natural Science Foundation of China(10371099)

摘　　要：首先利用Heisenberg群上的Hardy型不等式,通过基本的微积分运算建立了若干不等式,然后建立了次椭圆p-Laplace方程的解在原点附近的增长性估计.最后给出了具有广义有限能量的函数的L^p-估计.Using an Hardy type inequality on the Heisenberg group, some inequalities ＇are derived through elementary calculus. Then growth estimates for solutions of subelliptic p-Laplacian with p 〉 1 at origin are constructed. Finally, L^p estimates of functions having finite energy are constructed.

关 键 词：次椭圆p-Laplace算子 HEISENBERG群 L^P-估计 HARDY不等式 

分 类 号：O175.25[理学—数学]