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. - In: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1364-503X. - 380:2236(2022), pp. 1-12. [10.1098/rsta.2021.0355]
Lagrange multipliers and nonlinear variational inequalities with gradient constraints
GIUFFRE' S.
;MARCIANO' A
2022-01-01
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'.| File | Dimensione | Formato | |
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