Minimization of nonsmooth integral functionals.
Minimization problems with lack of compactness
Minimizers of Dirichlet functionals on the -torus and the weak KAM theory
Minimizers with topological singularities in two dimensional elasticity
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of ; the minimizer is and is such that vanishes at one point.
Minimizers with topological singularities in two dimensional elasticity
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that vanishes at one point.
Minimizing a functional depending on and on
Minimizing Lp-norm among the Functions of Bounded Second Derivatives.
Minimizing -harmonic maps at a free boundary
Studiamo le proprietà di regolarità delle mappe fra varietà di Riemann che minimizzano la -energia fra quelle che soddisfano una condizione di frontiera pazialmente libera. Proviamo che tali mappe sono Hölder continue vicino alla frontiera libera fuori di un insieme singolare, e otteniamo stime ottimali per la dimensione di Hausdorff di questo insieme singolare.
Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study
We apply four different methods to study an intrinsically bang-bang optimal control problem. We study first a relaxed problem that we solve with a naive nonlinear programming approach. Since these preliminary results reveal singular arcs, we then use Pontryagin’s Minimum Principle and apply multiple indirect shooting methods combined with homotopy approach to obtain an accurate solution of the relaxed problem. Finally, in order to recover a purely bang-bang solution for the original problem, we...
Minimum energy control of positive continuous-time linear systems with bounded inputs
The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
Minimum problems on with irregular boundary datum
Min-проблема моментов Маркова и быстродействие.
Mixed finite element analysis of semi-coercive unilateral contact problems with given friction
A unilateral contact 2D-problem is considered provided one of two elastic bodies can shift in a given direction as a rigid body. Using Lagrange multipliers for both normal and tangential constraints on the contact interface, we introduce a saddle point problem and prove its unique solvability. We discretize the problem by a standard finite element method and prove a convergence of approximations. We propose a numerical realization on the basis of an auxiliary “bolted” problem and the algorithm of...
Mixed finite element discretization of some variational inequalities arising in elasticity problems in domains with cracks.
Mixed formulation of elliptic variational inequalities and its approximation
The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian on a certain convex set . Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.
Mixed formulations for a class of variational inequalities
A general setting is proposed for the mixed finite element approximations of elliptic differential problems involving a unilateral boundary condition. The treatment covers the Signorini problem as well as the unilateral contact problem with or without friction. Existence, uniqueness for both the continuous and the discrete problem as well as error estimates are established in a general framework. As an application, the approximation of the Signorini problem by the lowest order mixed finite element...
Mixed formulations for a class of variational inequalities
A general setting is proposed for the mixed finite element approximations of elliptic differential problems involving a unilateral boundary condition. The treatment covers the Signorini problem as well as the unilateral contact problem with or without friction. Existence, uniqueness for both the continuous and the discrete problem as well as error estimates are established in a general framework. As an application, the approximation of the Signorini problem by the lowest order mixed finite element...
Mixed quasi invex equilibrium problems.
Mixed variational formulation of unilateral problems
Mixed variational inequalities and economic equilibrium problems.