computes the flat norm for boundaries.
-regularity for minima of variational integrals
The -regularity of the gradient of local minima for nonlinear functionals is shown.
-error analysis for a system of quasivariational inequalities with noncoercive operators.
-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 aproximación geométrico-secuencial en los problemas de optimización dinámicos. I. El principio de máximo puntual.
En este artículo introducimos una nueva metodología para la generación de condiciones necesarias en problemas de optimización dinámicos.Denominamos a esta metodología la aproximación secuencial en contraposición a la aproximación puntual clásica y mostramos cómo obtener un principio de máximo puntual con este método.
La théorie des perturbations au voisinage des systèmes hamiltoniens convexes
La théorie mathématique de l'équilibre économique : extension du modèle de Arrow-Debreu au cadre non convexe
Lagrange multipliers and geometric measure theory
Lagrange multipliers method and quadratic programming in Hilbert space
Lagrangean decomposition for integer programming : theory and applications
Lagrangian formalism in the classical field theory
Lagrangian stability and global optimality in nonconvex quadratic minimization over Euclidean balls and spheres.
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.
Lavrentiev phenomenon in microstructure theory.
Le formalisme de Hamilton-Cartan en calcul des variations
Le problème de Cauchy pour les équations de Hamilton-Jacobi-Bellman
Le problème inverse du calcul des variations