Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Electronic Research Announcements
Electronic Research Announcements
ISSN 1079-6762

 

Optimal regularity for quasilinear equations in stratified nilpotent Lie groups and applications


Author: Luca Capogna
Journal: Electron. Res. Announc. Amer. Math. Soc. 2 (1996), 60-68
MSC (1991): Primary 35H05
MathSciNet review: 1405970
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We announce the optimal $C^{1+\alpha }$ regularity of the gradient of weak solutions to a class of quasilinear degenerate elliptic equations in nilpotent stratified Lie groups of step two. As a consequence we also prove a Liouville type theorem for $1$-quasiconformal mappings between domains of the Heisenberg group $\mathbb {H}^{n}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Electronic Research Announcements of the American Mathematical Society with MSC (1991): 35H05

Retrieve articles in all journals with MSC (1991): 35H05


Additional Information

Luca Capogna
Affiliation: Department of Mathematics, Purdue University, West Lafayette, IN 47907
Email: capogna@math.purdue.edu

DOI: http://dx.doi.org/10.1090/S1079-6762-96-00009-1
PII: S 1079-6762(96)00009-1
Received by editor(s): March 15, 1996
Additional Notes: Alfred P. Sloan Doctoral Dissertation Fellow.
Communicated by: Thomas Wolff
Article copyright: © Copyright 1996 American Mathematical Society