3 papers
math.FA2024
G-strong subdifferentiability and applications to norm attaining subspaces
Javier Falco, Daniel Isert
We study the reflexivity and strong subdifferentiability within the framework of group invariant mappings. We show that a Banach space is G-reflexive if the norm of its dual is G-s…
math.FA2024
Variational principles and apllications to symmetric PDEs
Javier Falco, Daniel Isert
In this paper, we explore various equivalences of Ekeland's variational principle within the framework of group-invariant mappings. We introduce and analyze several key theorems, i…
math.FA2024
Group invariant variational principles
Javier Falcó, Daniel Isert
In this paper we introduce a group invariant version of the wellknown Ekeland variational principle. To achieve this, we defne the concept of convexity with respect to a group and…