IJPAM: Volume 71, No. 3 (2011)

EXISTENCE OF POTENTIAL FUNCTIONS OF
INTRINSIC GRADIENTS IN HEISENBERG GROUPS

Francesco Bigolin
Department of Mathematics
University of Trento
14, Via Sommarive, 38050, Povo (Trento), ITALY


Abstract. We give explicit conditions equivalent to the existence of a potential function $\phi:\omega\subset\mathbb W\equiv\mathbb R^{2n}\to\mathbb R$ for the intrinsic gradient $\nabla^{\phi}\phi$, introduced by [#!ascv!#],[#!CM!#] and studied in [#!BSC1!#],[#!BSC2!#] to characterize intrinsic regular hypersrfaces in Heisenberg groups.

Received: July 8, 2011

AMS Subject Classification: 53C17, 35L60, 49Q15

Key Words and Phrases: Heisenberg Group, intrinsic regular hypersurfaces, Burgers equation

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3