Solving the set equilibrium problems.
Solving variational inclusions by a method obtained using a multipoint iteration formula.
Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions
We prove the existence of a sequence satisfying , where f is a function whose second order Fréchet derivative ∇²f satifies a center-Hölder condition and F is a set-valued map from a Banach space X to the subsets of a Banach space Y. We show that the convergence of this method is superquadratic.
Some applications of optimal control theory of distributed systems
In this paper we present some applications of the J.-L. Lions’ optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
Some Applications of Optimal Control Theory of Distributed Systems
In this paper we present some applications of the J.-L. Lions' optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
Some aspects of the variational nature of mean curvature flow
We show that the classical solution of the heat equation can be seen as the minimizer of a suitable functional defined in space-time. Using similar ideas, we introduce a functional on the class of space-time tracks of moving hypersurfaces, and we study suitable minimization problems related with . We show some connections between minimizers of and mean curvature flow.
Some asymptotic problems in fully nonlinear elliptic equations and stochastic control
Some boundary optimal control problems related to a singular cost functional
Some continuation properties via minimax arguments.
Some equilibrium and mixed models in the finite element method
Some existence results on noncoercive variational inequalities
Some existence theorems for nonconvex variational inequalities problems.
Some fixed points theorems for multi-valued weakly uniform increasing operators
Some global bifurcation problems for variational inequalities
Some inverse mapping theorems
Some iterative methods for solving equilibrium problems and optimization problems.
Some Liouville theorems for PDE problems in periodic media
Liouville problems in periodic media (i.e. the study of properties of global solutions to PDE) arise both in homogenization and dynamical systems. We discuss some recent results for minimal surfaces and free boundaries.
Some maximal elements' theorems in -spaces.
Some Minimax Theorems.
Some new deterministic and random variational inequalities and their applications.