BLURRED MAXIMAL CYCLICALLY MONOTONE SETS AND BIPOTENTIALS-Reference-Cited by-同舟云学术

BLURRED MAXIMAL CYCLICALLY MONOTONE SETS AND BIPOTENTIALS

Published:2010-10 Issue:04 Volume:08 Page:323-336
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BULIGA MARIUS¹,DE SAXCÉ GÉRY²,VALLÉE CLAUDE³

Affiliation:

1. "Simion Stoilow" Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucharest, Romania

2. Laboratoire de Mécanique de Lille, UMR CNRS 8107, Université des Sciences et Technologies de Lille, Bâtiment Boussinesq, Cité Scientifique, 59655, Villeneuve d'Ascq cedex, France

3. Laboratoire de Mécanique des Solides, UMR 6610, UFR SFA-SP2MI, bd M. et P. Curie, téléport 2, BP 30179, 86962 Futuroscope-Chasseneuil cedex, France

Abstract

Let X be a reflexive Banach space and Y its dual. In this paper, we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone set. Equivalently, we find a necessary and sufficient condition on ϕ ∈ Γ0(X) so that the differential inclusion [Formula: see text] can be put in the form y ∈ ∂b(·, y)(x), with b a bipotential.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530510001667

Reference25 articles.

1. Plasticity with non-linear kinematic hardening: modelling and shakedown analysis by the bipotential approach

2. Plastic limit load of plane frames with frictional contact supports

3. Bipotentials for Non-monotone Multivalued Operators: Fundamental Results and Applications

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