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An incompressibility condition for a certain class of integral functionals. I. / Osmolovskii, V. G.

в: Journal of Soviet Mathematics, Том 28, № 5, 01.03.1985, стр. 759-767.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Osmolovskii, V. G. / An incompressibility condition for a certain class of integral functionals. I. в: Journal of Soviet Mathematics. 1985 ; Том 28, № 5. стр. 759-767.

BibTeX

@article{46fc7ebd903240d3b16a7ff00a578e8b,
title = "An incompressibility condition for a certain class of integral functionals. I",
abstract = "One considers the integral functional Ĥ(y), depending on the mapping of the domain Ω⊂Rm into Rm, on the set of mappings y, subjected to the incompressibility condition: det y=1. One computes its first and second variations. The obtained results are compared with the formulas arising from the formal application of the method of the undetermined Lagrange multipliers. One gives an application to problems of elasticity theory.",
author = "Osmolovskii, {V. G.}",
year = "1985",
month = mar,
day = "1",
doi = "10.1007/BF02112341",
language = "English",
volume = "28",
pages = "759--767",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - An incompressibility condition for a certain class of integral functionals. I

AU - Osmolovskii, V. G.

PY - 1985/3/1

Y1 - 1985/3/1

N2 - One considers the integral functional Ĥ(y), depending on the mapping of the domain Ω⊂Rm into Rm, on the set of mappings y, subjected to the incompressibility condition: det y=1. One computes its first and second variations. The obtained results are compared with the formulas arising from the formal application of the method of the undetermined Lagrange multipliers. One gives an application to problems of elasticity theory.

AB - One considers the integral functional Ĥ(y), depending on the mapping of the domain Ω⊂Rm into Rm, on the set of mappings y, subjected to the incompressibility condition: det y=1. One computes its first and second variations. The obtained results are compared with the formulas arising from the formal application of the method of the undetermined Lagrange multipliers. One gives an application to problems of elasticity theory.

UR - http://www.scopus.com/inward/record.url?scp=34250109792&partnerID=8YFLogxK

U2 - 10.1007/BF02112341

DO - 10.1007/BF02112341

M3 - Article

AN - SCOPUS:34250109792

VL - 28

SP - 759

EP - 767

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 42744065