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Heisenberg群上次椭圆p-Laplace方程的增长性估计(英文) 被引量：1

Growth estimates to subelliptic p-Laplace equations on Heisenberg group
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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.
作者 刘海峰 钮鹏程
机构地区 西北工业大学应用数学系
出处 《中国科学院研究生院学报》 CAS CSCD 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)
关键词 次椭圆p-Laplace算子 HEISENBERG群 L^P-估计 HARDY不等式 subelliptic p-Laplacian, Heisenberg group, L^p estimate, Hardy inequality
分类号 O175.25 [理学—基础数学]
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参考文献12

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同被引文献18

  • 1窦井波,钮鹏程.Heisenberg群上p-sub-Laplace不等方程弱解的不存在性[J].吉林大学学报（理学版）,2006,44(2):163-169. 被引量：1
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中国科学院研究生院学报
2007年 第1期

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