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Asymptotic behaviour of quasi-linear problems with Neumann boundary conditions on perforated domains
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Some properties of a class of nonlinear variational μ-capacities
No full textAbstractWe study a class Mp(Ω) of measures and the corresponding class of non-linear variational μ-capacities, which are closely related to the study of limits of solutions of non-linear Dirichlet problems in open sets with holes. In particular we prove that each measure μ of the class Mp(Ω) is uniquely determined by its μ-capacity
Variational evolution of one dimensional Lennard-Jones systems
No full textWe analyze Lennard-Jones systems from the standpoint of variational principles beyond the static framework. In a one-dimensional setting
such systems have already been shown to be equivalent to energies of Fracture Mechanics. Here we show that this equivalence can also be given in dynamical terms using the notion of minimizing movements
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