1,720,977 research outputs found
Some questions in homogenization: Dirichlet conditions and multiscale problems
No full textSono presentati alcuni risultati di omogeneizzazione per funzionali in BV sottoposti ad un vincolo di traccia e risultati di omogeneizzazione a scala multipla in $W^{2,p}
A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case
Full text linkWe present a sufficient condition ensuring lower semicontinuity for nonlocal supremal functionals of the type W 1,'(?; Rd) u I? ess sup W(x, y, Vu(x), Vu(y)), (x,y)E?x? where ? is a bounded open subset of RN and W: ? x ? x RdxN x RdxN ? R
A Relaxation Result in the Vectorial Setting and Power Law Approximation for Supremal Functionals
No full textWe provide relaxation for not lower semicontinuous supremal functionals defined on vectorial Lipschitz functions, where the Borel level convex density depends only on the gradient. The connection with indicator functionals is also enlightened, thus extending previous lower semicontinuity results in that framework. Finally, we discuss the power law approximation of supremal functionals, with nonnegative, coercive densities having explicit dependence also on the spatial variable, and satisfying minimal measurability assumptions
Some Approaches to the Study of Non Simple Materials Grade Two Thin Films
No full textDimension reduction is used to derive the energy of grade two materials thin films.with bulk interfacial energies. Two different approaches, both relying on Gamma convergence have been used to derive the limit model. One leads to a representation in terms of Young measures, the other one is in terms of an integral representaion on Sobolev spaces. References to Cosserat's theory is also provide
On the relaxation and the homogenization of some classes of variational integrals with mixed boundary conditions
No full textSome integral representation results on BV spaces are given for functionals arising in relaxation and homogenization processes in the L^1 topology with prescribed Dirichlet data only on a part of the boundary
Some sufficient conditions for lower semicontinuity in SBD
No full textVengono dimostrati alcuni risultati di semicontinuità in SBD per integrali di tipo ellittico e sotto un vincolo di non compenetrazione
Some Results in Homogenization.
No full textThree scales convergence formulas for second order derivativesa are provide
Revisited convexity notions for L∞ variational problems
No full textWe address a detailed study of the convexity notions that arise in the study of weak* lower semicontinuity of supremal functionals, as well as those arising by the Lp-approximation, as p→+∞ of such functionals. Our quest is motivated by the knowledge we have on the analogous integral functionals and aims at establishing a solid groundwork underlying further research in the L∞ context
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