On the local boundedness of maximal H-monotone operators. (January 2017)

• Record Type: Journal Article
• Authors: Balogh, Z.M.; Calogero, A.; Pini, R.
• Is Part Of: Nonlinear analysis. Volume 148(2017)
• Page Start: 88
• Page End: 105
• Publication Date: 2017-01
• Subjects: 47H05 -- 49J53; Heisenberg group -- H-monotonicity -- Maximal H-monotonicity -- Minty theorem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.10.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we prove that maximal H-monotone operators T : H n ⇉ V 1 whose domain is all the Heisenberg group H n are locally bounded. This implies that they are upper semicontinuous. As a consequence, maximal H-monotonicity of an operator on H n can be characterized by a suitable version of Minty's type theorem.