Lagrange multipliers and nonlinear variational inequalities with gradient constraints

被引：2

作者：

Giuffre, Sofia ^{[1
]}

Marciano, Attilio ^{[1
]}

机构：

[1] Mediterranea Univ Reggio Calabria, DIIES, I-89122 Reggio Di Calabria, Italy

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2022年 / 380卷 / 2236期

关键词：

Lagrange multipliers; gradient constrained problem; variational inequalities; duality theory; INFINITE-DIMENSIONAL DUALITY; REGULARITY; EQUIVALENCE; BOUNDARY;

D O I：

10.1098/rsta.2021.0355

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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'.

引用

页数：12

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