On a variational problem with non-differentiable constraints

被引：0

作者：

Roger Moser

机构：

[1] University of Bath,Department of Mathematical Sciences

来源：

Calculus of Variations and Partial Differential Equations | 2007年 / 29卷

关键词：

49J10; 49N60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the regularity of minimizers and critical points of the Dirichlet energy under an integral constraint given by a non-differentiable function. We obtain existence of a Lipschitz continuous minimizer for a relaxed problem. In two dimensions, some regularity can also be proved for critical points.

引用

页码：119 / 140

页数：21

共 50 条

[21] Non-differentiable symmetric duality
Mond, B
Schechter, M
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1996, 53 (02) : 177 - 188
[22] Renormalisation of non-differentiable potentials
Alexandre, J.
Defenu, N.
Grigolia, G.
Marian, I. G.
Mdinaradze, D.
Trombettoni, A.
Turovtsi-Shiutev, Y.
Nandori, I
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (07)
[23] THERMODYNAMICS OF NON-DIFFERENTIABLE SYSTEMS
BOYLING, JB
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1974, 9 (06) : 379 - 392
[24] MINIMIZATION OF NON-DIFFERENTIABLE FUNCTIONALS
SIBONY, M
ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (02) : 105 - &
[25] About non-differentiable functions
Ben Adda, F
Cresson, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) : 721 - 737
[26] Constraint Qualifications and Stationary Conditions for Mathematical Programming with Non-differentiable Vanishing Constraints
Sajjad Kazemi
Nader Kanzi
Journal of Optimization Theory and Applications, 2018, 179 : 800 - 819
[27] Univariate Global Optimization with Multiextremal Non-Differentiable Constraints Without Penalty Functions
Yaroslav D. Sergeyev
Computational Optimization and Applications, 2006, 34 (2) : 229 - 248
[28] ON A SECOND ORDER COERCIVE DIRICHLET PROBLEM WITH A NON-DIFFERENTIABLE ACTION FUNCTIONAL
Galewski, Marek
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2014, 51 (01) : 17 - 23
[29] Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
D.E.I.S., Università della Calabria, 87036 Rende , Italy
不详
Comput Optim Appl, 2006, 2 (229-248):
[30] Optimization with Non-Differentiable Constraints with Applications to Fairness, Recall, Churn, and Other Goals
Cotter, Andrew
Jiang, Heinrich
Gupta, Maya
Wang, Serena
Narayan, Taman
You, Seungil
Sridharan, Karthik
JOURNAL OF MACHINE LEARNING RESEARCH, 2019, 20

← 1 2 3 4 5 →