x (Î½) (a) = x (a), x (Î½) (b) = x (b), provided that, for every i in {1, . . . ,m}, LiÏˆi is continuous in a neighborhood of x, Li is convex in its second variable, and Ïˆi evaluated along x hasâ€¦ (More)

â€“ Under general growth assumptions, that include some cases of linear g we prove existence of Lipschitzian solutions to the problem of minimizing âˆ« b a L(x(s), x â€²(s))ds with the boundary conditionsâ€¦ (More)

We study the homogenization of an unsteady fluid-structure interaction problem with a scaling corresponding to a long time asymptotic regime. We consider oscillating initial data which are Bloch waveâ€¦ (More)

In 1926 M. Lavrentiev [7] proposed an example of a variational problem whose infimum over the Sobolev space W, for some values of p â‰¥ 1, is strictly lower than the infimum over W1,âˆž. This energy gapâ€¦ (More)

The propagation of fractures in a solid undergoing cyclic loadings is known as the fatigue phenomenon. In this paper, we present a time continuous model for fatigue, in the special situation of theâ€¦ (More)