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
收藏
页数：12
相关论文
共 50 条
12345