C-1,C-alpha local regularity for the solutions of the p-laplacian on the Heisenberg group for 2 <= p < 1+root 5

Authors
Marchi, S
Citation
S. Marchi, C-1,C-alpha local regularity for the solutions of the p-laplacian on the Heisenberg group for 2 <= p < 1+root 5, Z ANAL ANWE, 20(3), 2001, pp. 617-636
Citations number
25
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
20
Issue
3
Year of publication
2001
Pages
617 - 636
Database
ISI
SICI code
0232-2064(2001)20:3<617:CLRFTS>2.0.ZU;2-S
Abstract
We prove local Holder continuity of the homogeneous gradient for weak solut ions u is an element of W-loc(1,p) of the p-Laplacian on the Heisenberg gro up H-n for 2 less than or equal to p < 1 + <root>5.