14 citations · 31 across the 7 of their papers we have counts for
7 papers
Uniqueness properties of functionals with Lipschitzian derivative
Biagio Ricceri
We prove that a functional with Lipschitzian derivative, when restricted to suitable spheres centered at a noncritical point, has a unique maximum.
Recent uses of connectedness in functional analysis
Biagio Ricceri
Perhaps, it is not too far from the truth to say that, among the great concepts (as compactness, completeness, order, convexity) on which functional analysis is based, connectednes…
A general variational principle and some of its applications
Biagio Ricceri
In this paper, given a reflexive real Banach space X and two sequentially weakly lower semicontinuous functionals Phi, Psi on X with Psi strongly continuous and coercive, we are ma…
A further improvement of a minimax theorem of Borenshtein and Shulman
Biagio Ricceri
I do improve a recent improvement (due to Saint Raymond) of a minimax theorem of Borenshtein and Shul'man, replacing a global compactness assumption by a local one.
Infinitely many local minima of sequentially weakly lower semicontinuous functionals
Biagio Ricceri
We give an overview of some applications of a general variational principle.
Some research perspectives in nonlinear functional analysis
Biagio Ricceri
The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative…