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 [Formula: see text] Lagrange multipliers is achieved. This article is part of the theme issue 'Non-smooth variational problems and applications'.

Lagrange multipliers and nonlinear variational inequalities with gradient constraints

GIUFFRE' S.
;
MARCIANO' A
2022

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 [Formula: see text] Lagrange multipliers is achieved. This article is part of the theme issue 'Non-smooth variational problems and applications'.
Lagrange multipliers
duality theory
gradient constrained problem
variational inequalities
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/129747
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