Antonio Marino

PERIODIC SOLUTIONS OF DYNAMICAL SYSTEMS WITH NEWTONIAN TYPE POTENTIALS

Periodic solutions of some singular dynamical systems are sought, under assumptions which include the case of Newtonian potential generated by a mass concentrated in a point. A result concerning solutions of minimal period is also given.

Nabla theorems and multiple solutions for some noncooperative elliptic systems

We study some variational principles which imply the existence of multiple critical points for a functional

Asymptotically critical points and their multiplicity

f

The Calculus of Variations and Some Semilinear Variational Inequalities of Elliptic and Parabolic Type

, using the properties of both

M. K. Venkatesha Murthy, Mathematician and Hindu

f

Evolution equations with lack of convexity

and

A nonsymmetric asymptotically linear elliptic problem

\nabla f

Curves of maximal slope and parabolic variational inequalities on non-convex constraints

on some suitable sets. We derive some multiplicity theorems for a certain class of strongly indefinite functionals and we apply these results for finding multiple solutions of an elliptic system of reaction-diffusion type.

Some variational theorems of mixed type and elliptic problems with jumping nonlinearities

In this paper we study multiplicity results for the critical points of a functional via topological information which ensures multiplicity of critical points for a sequence of approximating functionals. The main statement is quite simple, and it seems it could be usefully compared with a large class of problems. In particular we mention some problems that can be studied in this framework.

Methods of Nonconvex Analysis

We present here a survey on some techniques of nonsmooth calculus of variations, that we developed in these last years in collaboration with other authors, and some results concerning semilinear variational inequalities that can be deduced by means of such techniques.