Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
We present a fixed point theorem for completely continuous operators in Banach spaces,
which makes use of a ``stretching along the paths'' property and we also show some applications
to existence and multiplicity of solutions for nonlinear equations in different situations
(both in the case of finite and infinite dimensional spaces).
The main abstract results are based on joint work with Duccio Papini (University of Siena) and recent developments by Guglielmo Feltrin (SISSA, Trieste).
Some applications to periodic boundary value problems are proposed.