Variational methods for a class of nonlocal functionals

被引：7

作者：

Drakhlin, ME ^{[1
]}

Litsyn, E

Stepanov, E

机构：

[1] Coll Judea & Samaria, Res Inst, IL-44837 Ariel, Israel

[2] Weizmann Inst Sci, Dept Theoret Math, IL-76100 Rehovot, Israel

[3] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 4-5期

关键词：

calculus of variations; optimal control; hereditary systems; inner superposition;

D O I：

10.1016/S0898-1221(99)00061-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper gives on overview of recent developments and presents some new results for variational problems involving functionals with nonlocal transformation of argument, in particular, argument deviation. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：79 / 100

页数：22

共 50 条

[1] On the variational limit of a class of nonlocal functionals related to peridynamics
Mengesha, Tadele
Du, Qiang
NONLINEARITY, 2015, 28 (11) : 3999 - 4035
[2] SAR Image Despeckling by the Use of Variational Methods With Adaptive Nonlocal Functionals
Ma, Xiaoshuang
Shen, Huanfeng
Zhao, Xile
Zhang, Liangpei
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2016, 54 (06): : 3421 - 3435
[3] A Class of Variational Functionals in Conformal Geometry
Chang, Sun-Yung Alice
Fang, Hao
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[4] On a class of variational problems with nonlocal integrant
Maksimov, Vladimir P.
GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (01) : 97 - 101
[5] THE NONOCCURRENCE OF THE LAVRENTIEV PHENOMENON FOR A CLASS OF VARIATIONAL FUNCTIONALS
Bonfanti, Giovanni
Cellina, Arrigo
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (02) : 1639 - 1650
[6] Variational problems for a class of functionals on convex domains
Crasta, G
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 178 (02) : 608 - 629
[7] Variational methods for functionals with lack of strict convexity
Degiovanni, M
NONLINEAR EQUATIONS: METHODS, MODELS AND APPLICATIONS, 2003, 54 : 127 - 139
[8] Variational problem with an obstacle in RN for a class of quadratic functionals
Arkhipova A.A.
Journal of Mathematical Sciences, 2009, 159 (4) : 391 - 410
[9] HIGHER DIFFERENTIABILITY IN THE CONTEXT OF BESOV SPACES FOR A CLASS OF NONLOCAL FUNCTIONALS
Foss, Mikil
Geisbauer, Joe
EVOLUTION EQUATIONS AND CONTROL THEORY, 2013, 2 (02): : 301 - 318
[10] Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
Kreisbeck, Carolin
Ritorto, Antonella
Zappale, Elvira
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 225

← 1 2 3 4 5 →