A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics.
A bornological approach to rotundity and smoothness applied to approximation.
A boundary multivalued integral “equation” approach to the semipermeability problem
The present paper concerns the problem of the flow through a semipermeable membrane of infinite thickness. The semipermeability boundary conditions are first considered to be monotone; these relations are therefore derived by convex superpotentials being in general nondifferentiable and nonfinite, and lead via a suitable application of the saddlepoint technique to the formulation of a multivalued boundary integral equation. The latter is equivalent to a boundary minimization problem with a small...
A boundary value problem for non-linear differential equations with a retarded argument
A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations
A Canonical Formalism for Multiple Integral Problems in the Calculus of Variation. (Short Communication).
A characterization of convex calibrable sets in with respect to anisotropic norms
A characterization of families of function sets described by constraints on the gradient
A characterization of sets of functions and distributions on described by constraints on the gradient.
A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets
We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.
A class of convex non-coercive functionals and masonry-like materials
A class of generalized best approximation problems in locally convex linear topological spaces.
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and subsequently...
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and...
A class of nonlinear variational inequalities involving pseudomonotone operators.
A Class of Variational Problems with Linear Growth.
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions with bounded hessian, and we give an upper and a lower...
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions...
A comparison of solvers for linear complementarity problems arising from large-scale masonry structures
We compare the numerical performance of several methods for solving the discrete contact problem arising from the finite element discretisation of elastic systems with numerous contact points. The problem is formulated as a variational inequality and discretised using piecewise quadratic finite elements on a triangulation of the domain. At the discrete level, the variational inequality is reformulated as a classical linear complementarity system. We compare several state-of-art algorithms that have...
A construction of quasiconvex functions with linear growth at infinity