Alcune questioni in omogeneizzazione: condizioni di Dirichlet e problemi con scale multiple
The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach
Dimension reduction is used to derive the energy of non simple materials grade two thin films. Relaxation and 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
The lower semicontinuity of functionals of the type with respect to the -weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in for the lower semicontinuous envelope is also provided.
Dimension reduction for −Δ1
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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