On the generalized nonlinear quasivariational inclusions
On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings.
On the generalized strongly nonlinear implicit variational inequalities in reflexive Banach spaces
On the minimal displacement of points under mappings
New contributions concerning the minimal displacement of points under mappings (defect of fixed point) are obtained.
On the minimum of the work of interaction forces between a pseudoplate and a rigid obstacle
An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.
On the Newton partially flat minimal resistance body type problems
We study the flat region of stationary points of the functional under the constraint , where is a bounded domain in . Here is a function which is concave for small and convex for large, and is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We construct a family of partially flat radial solutions to the associated stationary problem when is a ball. We also analyze some other qualitative properties. Moreover, we show the...
On the nonlinear implicit complementarity problem.
On the obstacle problem with a volume constraint.
On the Principle of Linearized Stability for Varitional Inequalities.
On the relaxation of some classes of pointwise gradient constrained energies
On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case
The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary of a polygonal domain is given. The rate of convergence is proved if the exact solution is sufficiently regular.
On the smoothness of solutions of variational inequalities with obstacles
On the solution of a finite element approximation of a linear obstacle plate problem
In this paper the solution of a finite element approximation of a linear obstacle plate problem is investigated. A simple version of an interior point method and a block pivoting algorithm have been proposed for the solution of this problem. Special purpose implementations of these procedures are included and have been used in the solution of a set of test problems. The results of these experiences indicate that these procedures are quite efficient to deal with these instances and compare favourably...
On the splitting methods and the proximal point algorithm for maximal monotone operators.
On the stability of the free boundary in the obstacle problem for a minimal surface
On the Stefan problem with energy specification
Vengono trattati due problemi di Stefan con la specificazione dell'energia. Dapprima si fornisce una formulazione debole di un problema unidimensionale ad una fase studiato in [4]: si dimostra un risultato di esistenza. In seguito si considera un problema di Stefan pluridimensionale e multifase in cui viene assegnata l'energia totale del sistema ad ogni istante; si mostra l’esistenza e l’unicità della soluzione per due formulazioni provando inoltre l’equivalenza fra queste.
On the study of a class of variational inequalities via Leray-Schauder degree.
On two iterative methods for mixed monotone variational inequalities.
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.
Operator-splitting methods for general mixed variational inequalities.