On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.
On the existence of a solution for some distributed optimal control hyperbolic system.
On the existence of optimal controls for nonlinear infinite dimensional systems
We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
On the existence of optimal processes
On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems
In questa Nota si continua la discussione iniziata in [4] dell'esistenza di soluzioni ottimali per problemi di ottimo controllo in . Si definiscono problemi generalizzati, e si ottengono estensioni di risultati già presentati in [4]. Si dimostrano anche varie relazioni tra le soluzioni ottimali dei problemi generalizzati e i problemi originali e non convessi di ottimo controllo. Alla fine si considerano problemi lineari nelle variabili di stato anche nel caso di costi funzionali a valori vettoriali...
On the existence of solutions to a problem in multidimensional segmentation
On the existence of the price equilibrium by different methods
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
On the existence of viable solutions for a class of second order differential inclusions
We prove the existence of viable solutions to the Cauchy problem x” ∈ F(x,x’), x(0) = x₀, x’(0) = y₀, where F is a set-valued map defined on a locally compact set , contained in the Fréchet subdifferential of a ϕ-convex function of order two.
On the existence of weak solutions for degenerate systems of variational inequalities with critical growth
We prove the existence of solutions to systems of degenerate variational inequalities.
On the existence result for system of generalized strong vector quasiequilibrium problems.
On the extrema of integrable functions.
On the general minimax theorem
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 integral representation of relaxed functionals with convex bounded constraints
We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere.
On the Lavrentieff phenomenon for some classes of Dirichlet minimum points.
On the Lawrence–Doniach model of superconductivity: magnetic fields parallel to the axes
We consider periodic minimizers of the Lawrence–Doniach functional, which models highly anisotropic superconductors with layered structure, in the simultaneous limit as the layer thickness tends to zero and the Ginzburg–Landau parameter tends to infinity. In particular, we consider the properties of minimizers when the system is subjected to an external magnetic field applied either tangentially or normally to the superconducting planes. For normally applied fields, our results show that the resulting...
On the level sum of two convex functions on Banach spaces.
On the lower semicontinuity of certain integral functionals
Si dimostra che il funzionale è semicontinuo inferiormente su , rispetto alla topologia indotta da , qualora l’integrando sia una funzione non-negativa, misurabile in , convessa in , limitata nell’intorno dei punti del tipo , e tale che la funzione sia semicontinua inferiormente su .