Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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 изданиях › статья › Рецензирование
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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