Strained epitaxial films grown on a relatively thick substrate are considered in the context of plane linear elasticity. The total free energy of the system is assumed to be the sum of the energy ofâ€¦ (More)

Singular perturbation models involving a penalization of the first order derivatives have provided a new insight into the role played by surface energies in the study of phase transitions problems.â€¦ (More)

+âˆž otherwise, under periodicity (and nonconvexity) hypothesis, standard p-coercivity and p-growth conditions with p > 1. Precisely it is assumed that the integrand f = f(x, y, Î¾) is measurable in x,â€¦ (More)

Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variations is obtained when the integrands are convex with respect to the gradient variable, but are not necessarilyâ€¦ (More)

are obtained when sequences of fields v may develop oscillations and are constrained to satisfy a system of first order linear partial differential equations. This framework includes the treatementâ€¦ (More)

In this paper it is shown existence of weak solutions of a variational inequality derived from the continuum model introduced by Xiang [7, formula (3.62)] (see also the work of Xiang and E [8] and Xuâ€¦ (More)