In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty’s theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
Pini, R., Calogero, A. (2014). On Minty’s theorem in the Heisenberg group. NONLINEAR ANALYSIS, 104, 12-20 [10.1016/j.na.2014.03.012].
On Minty’s theorem in the Heisenberg group
PINI, RITA;CALOGERO, ANDREA GIOVANNI
2014
Abstract
In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty’s theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
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