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Currently displaying 1 – 4 of 4

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Alcune questioni in omogeneizzazione: condizioni di Dirichlet e problemi con scale multiple

Elvira Zappale — 2003

Bollettino dell'Unione Matematica Italiana

The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach

Giuliano Gargiulo; Elvira Zappale — 2007

Bollettino dell'Unione Matematica Italiana

Dimension reduction is used to derive the energy of non simple materials grade two thin films. Relaxation and $\Gamma$ convergence lead to a limit defined on a suitable space of bi-dimensional Young measures. The underlying ``deformation'' in the limit model takes into account the Cosserat theory.

Lower semicontinuous envelopes in $W^{1, 1} \times L^{p}$

Ana Margarida Ribeiro; Elvira Zappale — 2014

Banach Center Publications

The lower semicontinuity of functionals of the type $\int_{Ω} f (x, u, v, \nabla u) d x$ with respect to the $(W^{1, 1} \times L^{p})$ -weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in $W^{1, 1} \times L^{p}$ for the lower semicontinuous envelope is also provided.

Dimension reduction for −Δ1

Maria Emilia Amendola; Giuliano Gargiulo; Elvira Zappale — 2014

ESAIM: Control, Optimisation and Calculus of Variations

A 3D-2D dimension reduction for −Δ is obtained. A power law approximation from −Δ as → 1 in terms of -convergence, duality and asymptotics for least gradient functions has also been provided.

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