On the local boundedness of maximal H-monotone operators

Balogh, Zoltan; Calogero, A.; Pini, R. (2017). On the local boundedness of maximal H-monotone operators. Nonlinear analysis: theory, methods & applications, 148, pp. 88-105. Elsevier 10.1016/j.na.2016.10.003

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In this paper we prove that maximal H-monotone operators T: Hn ⇉ V1 whose domain is all the Heisenberg group Hn are locally bounded. This implies that they are upper semicontinuous. As a consequence, maximal H-monotonicity of an operator on Hn can be characterized by a suitable version of Minty’s type theorem.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Balogh, Zoltan

Subjects:

500 Science > 510 Mathematics

ISSN:

0362-546X

Publisher:

Elsevier

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

17 Apr 2018 09:44

Last Modified:

25 Oct 2019 08:29

Publisher DOI:

10.1016/j.na.2016.10.003

BORIS DOI:

10.7892/boris.109138

URI:

https://boris.unibe.ch/id/eprint/109138

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