KKM theorem with applications to lower and upper bounds equilibrium problem in -convex spaces.
Korn's inequality uniform with respect to a class of axisymmetric bodies
The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.
-regularity for minima of variational integrals
The -regularity of the gradient of local minima for nonlinear functionals is shown.
-error estimate for a discrete two-sided obstacle problem and multilevel projective algorithm.
-error estimate for a noncoercive system of elliptic quasi-variational inequalities: a simple proof.
-error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities.
-error estimates for variational inequalities with Hölder continuous obstacle
La théorie mathématique de l'équilibre économique : extension du modèle de Arrow-Debreu au cadre non convexe
Large deviations principle by viscosity solutions: the case of diffusions with oblique Lipschitz reflections
We establish a Large Deviations Principle for diffusions with Lipschitz continuous oblique reflections on regular domains. The rate functional is given as the value function of a control problem and is proved to be good. The proof is based on a viscosity solution approach. The idea consists in interpreting the probabilities as the solutions to some PDEs, make the logarithmic transform, pass to the limit, and then identify the action functional as the solution of the limiting equation.
Least regret control, virtual control and decomposition methods
Least regret control, virtual control and decomposition methods
"Least regret control" consists in trying to find a control which "optimizes the situation" with the constraint of not making things too worse with respect to a known reference control, in presence of more or less significant perturbations. This notion was introduced in [7]. It is recalled on a simple example (an elliptic system, with distributed control and boundary perturbation) in Section 2. We show that the problem reduces to a standard optimal control problem for augmented state equations. On...
Lectures on maximal monotone operators.
These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
L...-Error Estimate for an Approximation of a Parabolic Variational Inequality.
Letter to the editor.
Levitin-Polyak well-posedness in vector quasivariational inequality problems with functional constraints.
Lie brackets and real analyticity in control theory
L'image de la limite supérieure d'une famille d'ensembles est-elle égale à la limite supérieure de la famille des images ?
Limit behaviour of thin insulating layers around multiconnected domains
Limit behaviour of trajectories involving subgradients of convex functions
Limit problems in optimal control theory