The Euler and Weierstrass conditions for nonsmooth variational problems-Reference-Cited by-同舟云学术

The Euler and Weierstrass conditions for nonsmooth variational problems

Published:1996-01 Issue:1 Volume:4 Page:59-87
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var

Author:

Ioffe A. D.,Rockafellar R. T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01322309.pdf

Reference30 articles.

1. J. Borwein, A. Ioffe: Proximal analysis on smooth spaces. Set-Valued Analysis (to appear)

2. J. Borwein, D. Preiss: A smooth variational principle with applications. Trans. Amer. Math. Soc.303, 517–527 (1987)

3. F. H. Clarke: Necessary conditions for nonsmooth problems of optimal control and the calculus of variations, Ph.D. thesis, University of Washington, Seattle, 1973

4. F. H. Clarke: The Euler-Lagrange differential inclusion. J. Differ Eq.19, 80–90 (1975)

5. F. H. Clarke: Admissible relaxation in variational and control problems. J. Math. Anal. Appl.51, 557–576 (1975)

Cited by 56 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Maximum Principles for Optimal Control Problems with Differential Inclusions;SIAM Journal on Control and Optimization;2024-01-23

2. The Generalized Euler-Lagrange and Hamiltonian Inclusion Conditions;Springer Monographs in Mathematics;2023-11-20

3. The subdifferential descent method in a nonsmooth variational problem;Optimization Letters;2022-06-13

4. Constrained nonsmooth problems of the calculus of variations;ESAIM: Control, Optimisation and Calculus of Variations;2021

5. A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers;Journal of Differential Equations;2020-02