Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Номер статьи17
Число страниц25
ЖурналCalculus of Variations and Partial Differential Equations
Том59
Номер выпуска1
DOI
СостояниеОпубликовано - 1 фев 2020

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