Abstract
The proposed thesis is placed within a well consolidated framework of applications of certain minimax theorems where the quasi-convexity hypothesis assumed in the most classical result (the so called Von Neumann-Fan-Sion theorem) is not present.
The aim of the thesis is just to find new applications of the above quoted theorems. In particular, one of these applications deals with the multiplicity of global minimizers for the integral functional of the Calculus of Variations.
Keywords
minimax
Muliplicity of solutions
non-convexity
ERC sector(s)
PE Physical Sciences and Engineering
Fields of study
Name supervisor
Biagio Ricceri
E-mail
ricceri@dmi.unict.it
Name of Department/Faculty/School
Department of Mathematics and Informatics
Name of the host University
University of Catania (UNICT)
EUNICE partner e-mail of destination Research
leonardo.mirabella@studium.unict.it
Country
Italy
Thesis level
PhD
Minimal language knowledge requisite
English B2
Thesis mode
Remote
Call deadline
Length of the research internship
12 months
Financial support available (other than E+)
No mobility is required