Affiliation:
1. D.I.I.E.S., Mediterranea University of Reggio Calabria, Località Feo di Vito, 89122 Reggio Calabria, Italy
Abstract
The paper deals with nonlinear monotone variational inequalities with gradient constraints. In particular, using a new strong duality principle, the equivalence between the problem under consideration and a suitable double obstacle problem is proved. Moreover, the existence of
L
2
Lagrange multipliers is achieved.
This article is part of the theme issue ‘Non-smooth variational problems and applications’.
Funder
Istituto Nazionale di Alta Matematica ‘Francesco Severi’
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
2 articles.
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1. A Nonconstant Gradient Constrained Problem for Nonlinear Monotone Operators;Axioms;2023-06-18
2. Non-smooth variational problems and applications;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-09-26