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Local solvability of a problem of nonlinear elasticity theory. / Osmolovskii, V. G.

в: Journal of Soviet Mathematics, Том 25, № 1, 04.1984, стр. 918-926.

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Harvard

Osmolovskii, VG 1984, 'Local solvability of a problem of nonlinear elasticity theory', Journal of Soviet Mathematics, Том. 25, № 1, стр. 918-926. https://doi.org/10.1007/BF01788923

APA

Osmolovskii, V. G. (1984). Local solvability of a problem of nonlinear elasticity theory. Journal of Soviet Mathematics, 25(1), 918-926. https://doi.org/10.1007/BF01788923

Vancouver

Osmolovskii VG. Local solvability of a problem of nonlinear elasticity theory. Journal of Soviet Mathematics. 1984 Апр.;25(1):918-926. https://doi.org/10.1007/BF01788923

Author

Osmolovskii, V. G. / Local solvability of a problem of nonlinear elasticity theory. в: Journal of Soviet Mathematics. 1984 ; Том 25, № 1. стр. 918-926.

BibTeX

@article{a5181ba764c94f8a93cdcd988702c7df,
title = "Local solvability of a problem of nonlinear elasticity theory",
abstract = "One considers an integral functional depending only on the trace of the metric tensor induced by a mapping of an n-dimensional domain Ω into ℝn. One seeks a mapping which minimizes this functional. Under a well-defined smallness in the boundary conditions, one proves the existence of an infinite set of critical points of the functional. Under additional restrictions, one discusses an existence theorem and the character of the extremum. The convexity of the functional is not assumed. Such functionals are encountered in elasticity theory.",
author = "Osmolovskii, {V. G.}",
year = "1984",
month = apr,
doi = "10.1007/BF01788923",
language = "English",
volume = "25",
pages = "918--926",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Local solvability of a problem of nonlinear elasticity theory

AU - Osmolovskii, V. G.

PY - 1984/4

Y1 - 1984/4

N2 - One considers an integral functional depending only on the trace of the metric tensor induced by a mapping of an n-dimensional domain Ω into ℝn. One seeks a mapping which minimizes this functional. Under a well-defined smallness in the boundary conditions, one proves the existence of an infinite set of critical points of the functional. Under additional restrictions, one discusses an existence theorem and the character of the extremum. The convexity of the functional is not assumed. Such functionals are encountered in elasticity theory.

AB - One considers an integral functional depending only on the trace of the metric tensor induced by a mapping of an n-dimensional domain Ω into ℝn. One seeks a mapping which minimizes this functional. Under a well-defined smallness in the boundary conditions, one proves the existence of an infinite set of critical points of the functional. Under additional restrictions, one discusses an existence theorem and the character of the extremum. The convexity of the functional is not assumed. Such functionals are encountered in elasticity theory.

UR - http://www.scopus.com/inward/record.url?scp=34250140542&partnerID=8YFLogxK

U2 - 10.1007/BF01788923

DO - 10.1007/BF01788923

M3 - Article

AN - SCOPUS:34250140542

VL - 25

SP - 918

EP - 926

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 87679167