Standard

Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. / Molchanova, Anastasia; Vodopyanov, Sergey.

In: Calculus of Variations and Partial Differential Equations, Vol. 59, No. 1, 17, 01.02.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Molchanova, A & Vodopyanov, S 2020, 'Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity', Calculus of Variations and Partial Differential Equations, vol. 59, no. 1, 17. https://doi.org/10.1007/s00526-019-1671-4

APA

Molchanova, A., & Vodopyanov, S. (2020). Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Calculus of Variations and Partial Differential Equations, 59(1), [17]. https://doi.org/10.1007/s00526-019-1671-4

Vancouver

Molchanova A, Vodopyanov S. Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Calculus of Variations and Partial Differential Equations. 2020 Feb 1;59(1):17. doi: 10.1007/s00526-019-1671-4

Author

Molchanova, Anastasia ; Vodopyanov, Sergey. / Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. In: Calculus of Variations and Partial Differential Equations. 2020 ; Vol. 59, No. 1.

BibTeX

@article{8c228199378a4289a31476049e0eb8cc,
title = "Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity",
abstract = "We show that a sufficient condition for the weak limit of a sequence of Wq1-homeomorphisms with finite distortion to be almost everywhere injective for q≥ n- 1 , can be stated by means of composition operators. Applying this result, we study nonlinear elasticity problems with respect to these new classes of mappings. Furthermore, we impose loose growth conditions on the stored-energy function for the class of Wn1-homeomorphisms with finite distortion and integrable inner as well as outer distortion coefficients.",
keywords = "VARIATIONAL-PROBLEMS, DEFORMATIONS, INVERTIBILITY, REGULARITY, EXISTENCE, CONVERGENCE, INVERSE, THEOREM, SPACES, LIMIT",
author = "Anastasia Molchanova and Sergey Vodopyanov",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s00526-019-1671-4",
language = "English",
volume = "59",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer New York",
number = "1",

}

RIS

TY - JOUR

T1 - Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity

AU - Molchanova, Anastasia

AU - Vodopyanov, Sergey

PY - 2020/2/1

Y1 - 2020/2/1

N2 - We show that a sufficient condition for the weak limit of a sequence of Wq1-homeomorphisms with finite distortion to be almost everywhere injective for q≥ n- 1 , can be stated by means of composition operators. Applying this result, we study nonlinear elasticity problems with respect to these new classes of mappings. Furthermore, we impose loose growth conditions on the stored-energy function for the class of Wn1-homeomorphisms with finite distortion and integrable inner as well as outer distortion coefficients.

AB - We show that a sufficient condition for the weak limit of a sequence of Wq1-homeomorphisms with finite distortion to be almost everywhere injective for q≥ n- 1 , can be stated by means of composition operators. Applying this result, we study nonlinear elasticity problems with respect to these new classes of mappings. Furthermore, we impose loose growth conditions on the stored-energy function for the class of Wn1-homeomorphisms with finite distortion and integrable inner as well as outer distortion coefficients.

KW - VARIATIONAL-PROBLEMS

KW - DEFORMATIONS

KW - INVERTIBILITY

KW - REGULARITY

KW - EXISTENCE

KW - CONVERGENCE

KW - INVERSE

KW - THEOREM

KW - SPACES

KW - LIMIT

UR - http://www.scopus.com/inward/record.url?scp=85076111097&partnerID=8YFLogxK

U2 - 10.1007/s00526-019-1671-4

DO - 10.1007/s00526-019-1671-4

M3 - Article

AN - SCOPUS:85076111097

VL - 59

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 1

M1 - 17

ER -

ID: 22575094