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OALib Journal期刊
ISSN: 2333-9721
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Growth Estimates to Subelliptic -Laplace Equations on Heisenberg Group
Heisenberg群上次椭圆 -Laplace方程的增长性估计(英文)

Keywords: subelliptic p-Laplacian,Heisenberg group,Lp estimate,Hardy inequality
次椭圆p-Laplace算子
,Heisenberg群,Lp-估计,Hardy不等式

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Abstract:

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, Lp estimates of functions having finite energy are constructed.

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