Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. / Molchanova, Anastasia; Vodopyanov, Sergey.
в: Calculus of Variations and Partial Differential Equations, Том 59, № 1, 17, 01.02.2020.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
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