Subelliptic Cordes estimates

被引：39

作者：

Domokos, A ^{[1
]}

Manfredi, JJ ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 04期

关键词：

Cordes conditions; subelliptic equations; p-Laplacian;

D O I：

10.1090/S0002-9939-04-07819-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Cordes type estimates for subelliptic linear partial differential operators in non-divergence form with measurable coefficients in the Heisenberg group. As an application we establish interior horizontal W-2,W-2-regularity for p-harmonic functions in the Heisenberg group H-1 for the range root17-1/2 less than or equal to p < 5+√5/2.

引用

页码：1047 / 1056

页数：10

共 12 条

[1] AN EMBEDDING THEOREM AND THE HARNACK INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS [J].