Regular maximal monotone operators and the sum theorem.
Regular synthesis for the linear-convex optimal control problem with convex control constraints
Régularité de la solution d'un problème variationnel
Régularité Lipschitzienne des Géodésiques Minimisantes pour Quelques Distributions Affines
2000 Mathematics Subject Classification: 49J15, 49J30, 53B50.In the context of sub-Riemannian geometry and the Lipschitzian regularity of minimizers in control theory, we investigate some properties of minimizing geodesics for certain affine distributions. In particular, we consider the case of a generalized H2-strong affine distribution and the case of an affine Plaff system of maximal class.
Regularity and optimal control of quasicoupled and coupled heating processes
Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions...
Regularity and stability of optimal controls of nonstationary Navier-Stokes equations
Regularity of displacement solutions in Hencky plasticity. II: The main result
The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. Here, a non-homogeneous material is considered, where the elastic-plastic properties change discontinuously. In the first part, we have found the extremal relation between the displacement formulation defined on the space of bounded deformation and the stress formulation of the variational problem in Hencky plasticity. In the second part, we prove that the displacement...
Regularity of displacement solutions in Hencky plasticity. I: The extremal relation
The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. A non-homogeneous material whose elastic-plastic properties change discontinuously is considered. We find (in an explicit form) the extremal relation between the displacement formulation (defined on the space of bounded deformation) and the stress formulation of the variational problem in Hencky plasticity. This extremal relation is used in the proof of the regularity of displacements. ...
Regularity of minimal boundaries with obstacles
Regularity of minimizers for a class of membrane energies
Regularity of minimizers for nonconvex vectorial integrals with growth via relaxation methods.
Regularity of minimizers in optimal control
Regularity of parabolic hemivariational inequalities with boundary conditions.
Regularity of solutions fo a degenerate elliptic variational problem.
Regularity of solutions for arbitrary order variational inequalities with general convex sets
Regularity of solutions in plasticity. I: Continuum
The aim of this paper is to study the problem of regularity of solutions in Hencky plasticity. We consider a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.
Regularity of solutions in plasticity. II: Plates
The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. We consider a plate made of a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.
Regularity properties of free discontinuity sets
Regularity properties of optimal segmentations.
Regularity results for a class of obstacle problems
We prove some optimal regularity results for minimizers of the integral functional belonging to the class , where is a fixed function, under standard growth conditions of -type, i.e.