Su un problema di diramazione riguardante i moti convettivi in un fluido viscoso
Su un problema di media ergodica per operatori non permutabili
La teoria di Morse per gli spazi di Hilbert. Un'applicazione al problema della diramazione per operatori variazionali
Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
Non-smooth variational bifurcation
We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.
Non-smooth variational bifurcation
We consider bifurcation problems associated with some lower semicontinuous functionals that do not satisfy the usual regularity assumptions. For such functionals it is possible to define a generalized "Hessian form" and to show that certain eigenvalues of this one are bifurcation values. The results are applied to a bifurcation problem for elliptic variational inequalities.
Curves of maximal slope and parabolic variational inequalities on non-convex constraints
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.
Dynamical systems with Newtonian type potentials
We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
Dynamical systems with Newtonian type potentials
We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
Funzioni -convesse
We study a class of functions which differ essentially from those which are the sum of a convex function and a regular one and which have interesting properties related to -convergence and to problems with non-convex constraints. In particular some results are given for the associated evolution equations.
Evolution equations for a class of nonlinear operators
Se è un operatore in uno spazio di Hilbert e è un sotto insieme di questo spazio, in molti problemi si è indotti a modificare sul «bordo» di in modo da ottenere un operatore tale che le soluzioni dell'equazione differenziale associata non escano da . Se non è convesso, l'operatore non rientra nei casi classici esaminati, ad esempio, in [1]. In questo lavoro introduciamo alcune classi di operatori che contengono, in qualçhe caso significativo, quelli del genere sopra considerato...
Funzioni -convesse
We study a class of functions which differ essentially from those which are the sum of a convex function and a regular one and which have interesting properties related to -convergence and to problems with non-convex constraints. In particular some results are given for the associated evolution equations.
Problemi di evoluzione in spazi metrici e curve di massima pendenza
In this note a definition of “Maximal decreasing curve” is given, which extends the usual notion of solution of an evolution problem of the type, for example, of the heat equation. This definition seems the right one in order to study many limit cases of evolution problems which have been settled only in the convex case.
Evolution equations for a class of nonlinear operators
Se è un operatore in uno spazio di Hilbert e è un sotto insieme di questo spazio, in molti problemi si è indotti a modificare sul «bordo» di in modo da ottenere un operatore tale che le soluzioni dell'equazione differenziale associata non escano da . Se non è convesso, l'operatore non rientra nei casi classici esaminati, ad esempio, in [1]. In questo lavoro introduciamo alcune classi di operatori che contengono, in qualçhe caso significativo, quelli del genere sopra considerato...
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