Organizer: Raffaella Servadei, Università degli Studi di Urbino Carlo Bo, Dipartimento di Scienze Pure e Applicate, Piazza della Repubblica 13, Urbino (Italy)
email address: raffaella.servadei@uniurb.it
Nonlinear analysis is a powerful tool for studying a variety of phenomena arising in dfferent contexts such as, among the others, physics, mechanics, biology, chemistry, finance.
A very interesting area of nonlinear analysis lies in the study of local and nonlocal elliptic equations, both for the pure mathematical research and in view of concrete real-world applications.
Indeed, this type of problems arises in a quite natural way in different contexts, such as, among the others, the thin obstacle problem, optimization, finance, phase transitions, stratified materials, anomalous diffusion, crystal dislocation, soft thin films, semipermeable membranes, flame propagation, conservation laws, ultra-relativistic limits of quantum mechanics, quasi-geostrophic flows, multiple scattering, minimal surfaces, materials science, water waves, chemical reactions of liquids, population dynamics, geophysical fluid dynamics, mathematical finance (American options), jump Lévy processes in probability theory.
The current literature on these abstract tools and on their applications is, therefore, very interesting and, up to now, quite large.
The aim of this session is to present some recent results and future trends on local and nolocal problems and their applications, by leading together experts in this field.