On the local boundedness of maximal H-monotone operators

被引：1
|
作者：
Balogh, Z. M. [1 ]
Calogero, A. [2 ]
Pini, R. [2 ]
机构：
[1] Univ Bern, Inst Math, Sidlerstr 5, CH-3012 Bern, Switzerland
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 148卷
基金：
瑞士国家科学基金会;
关键词：
Heisenberg group; H-monotonicity; Maximal H-monotonicity; Minty theorem; HEISENBERG-GROUP; CONVEX-FUNCTIONS; CARNOT GROUPS;
D O I：
10.1016/j.na.2016.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that maximal H-monotone operators T : H-n paired right arrows V-1 whose domain is all the Heisenberg group En are locally bounded. This implies that they are upper semicontinuous. As a consequence, maximal H-monotonicity of an operator on En can be characterized by a suitable version of Minty's type theorem. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：88 / 105
页数：18
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