Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:204

Article

Domokos, A

关键词: Heisenberg group;    p-Laplacian;    weak solutions;    regularity;   

DOI  :  10.1016/j.jde.2004.05.009

来源: Elsevier

【 摘 要 】

We propose a direct method to control the first-order fractional difference quotients of solutions to quasilinear subelliptic equations in the Heisenberg group. In this way we implement iteration methods on fractional difference quotients to obtain weak differentiability in the T-direction and then second-order weak differentiability in the horizontal directions. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free