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.
Calogero, A., Balogh, Z., Pini, R. (2017). On the local boundedness of maximal H-monotone operators. NONLINEAR ANALYSIS, 148, 88-105 [10.1016/j.na.2016.10.003].
On the local boundedness of maximal H-monotone operators
Calogero, A;Pini, R
2017
Abstract
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Balogh_Calogero_Pini 2017.pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
693.64 kB
Formato
Adobe PDF
|
693.64 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
