bibtype J - Journal Article
ARLID 0640709
utime 20251103084747.6
mtime 20251103235959.9
SCOPUS 105016690107
WOS 001572841400002
DOI 10.1007/s00526-025-03119-x
title (primary) (eng) New applications of Hadamard-in-the-mean inequalities to incompressible variational problems
specification
page_count 33 s.
media_type P
serial
ARLID cav_un_epca*0252329
ISSN 0944-2669
title Calculus of Variations and Partial Differential Equations
volume_id 64
publisher
name Springer
keyword Partial Differential Equations
keyword Functional Analysis
keyword Partial Differential Equations on Manifolds
keyword Calculus of Variations and Optimization
author (primary)
ARLID cav_un_auth*0496134
name1 Bevan
name2 J. J.
country GB
author
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0292941
name1 Valdman
name2 Jan
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url https://library.utia.cas.cz/separaty/2025/MTR/valdman-0640709.pdf
cas_special
project
project_id GA23-04766S
agency GA ČR
country CZ
ARLID cav_un_auth*0459138
abstract (eng) The chief purpose of this paper is to give a new viewpoint on the classical problem of finding global minimizers of constrained variational problems that are typically encountered in incompressible nonlinear elasticity theory. The novelty of our technique is that in the cases where it applies, it delivers a unique global energy minimizer in a constrained class by first solving an explicit PDE that is set in an unconstrained (or free) class. Established techniques for treating such variational problems can, in the right circumstances, produce similar PDE as necessary conditions, but without an associated uniqueness principle that makes it possible to distinguish between stationary points and true minimizers.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2026
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0371071
confidential S
article_num 259
mrcbC91 A
mrcbT16-e MATHEMATICS|MATHEMATICS.APPLIED
mrcbT16-f 2.4
mrcbT16-g 0.5
mrcbT16-h 7.4
mrcbT16-i 0.01645
mrcbT16-j 1.842
mrcbT16-k 6551
mrcbT16-q 87
mrcbT16-s 2.405
mrcbT16-y 35.34
mrcbT16-x 1.98
mrcbT16-3 1550
mrcbT16-4 Q1
mrcbT16-5 1.900
mrcbT16-6 245
mrcbT16-7 Q1
mrcbT16-C 87.1
mrcbT16-M 1.49
mrcbT16-N Q1
mrcbT16-P 92.9
arlyear 2025
mrcbU14 105016690107 SCOPUS
mrcbU24 PUBMED
mrcbU34 001572841400002 WOS
mrcbU63 cav_un_epca*0252329 Calculus of Variations and Partial Differential Equations Roč. 64 č. 8 2025 0944-2669 1432-0835 Springer