9 papers
Higher order necessary conditions for optimal controls not ranging in the interior
Francesca Angrisani, Franco Rampazzo
Goh's and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the…
Goh and Legendre-Clebsh conditions for nonsmooth control systems
Francesca Angrisani, Franco Rampazzo
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is at least continuously differentiable in the sta…
A new norm on BLO and matters of approximability and duality
Francesca Angrisani
In this paper, we obtain an alternative expression for the distance of a function in from the subspace . The distance is the one induced by choosing a new "norm" on…
Asymptotically quasiconvex functionals with general growth conditions
Francesca Angrisani
We establish local regularity results for minimizers of autonomous vectorial integrals of Calculus of Variations, assuming -growth conditions and imposing -quasiconvexity onl…
Goh conditions for minima of nonsmooth problems with unbounded controls
Francesca Angrisani, Franco Rampazzo
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is continuously differentiable in the state variab…
Quasi Differential Quotients
Francesca Angrisani, Franco Rampazzo
We explore basic properties and some applications of Quasi Differential Quotients (s) and the related -approximating multi-cones. A , which is a special kind of H.Su…
Autonomous functionals with asymptotic -structure
Francesca Angrisani
We obtain local Lipschitz regularity for minima of autonomous integrals in the calculus of variations, assuming -growth hypothesis and -quasiconvexity only asymptotical…
Atomic decomposition of finite signed measures on compacts of
Francesca Angrisani, Giacomo Ascione, Gianluigi Manzo
Recently there has been interest in pairs of Banach spaces in an relation and with . It is known that this can be done for Lipschitz spaces on suitable…
Duality and distance formulas in Lipschitz-Hölder spaces
Francesca Angrisani, Giacomo Ascione, Luigi D'Onofrio +1
For a compact metric space , the predual of can be identified with the normed space of finite (signed) Borel measures on equipped with the Kantorovic…