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101 papers · 1 filter
Homogenization effects on non-local functionals
Enrico Micalizio
We study the homogenization of a class of non-local functionals featuring a rapidly oscillating periodic weight. By means of two-scale convergence, we explicitly evaluate the Γ-lim…
Derivation and quasi-invariant asymptotics of phenotype-structured integro-differential models
Emanuele Bernardi, Tommaso Lorenzi, Andrea Tosin
Building upon kinetic theory approaches for mass-varying multi-agent systems, we develop a modelling framework for phenotype-structured populations that makes it possible to bridge…
Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions
Daniele Barbera, Filippo Boni, Simone Dovetta +1
We investigate normalized solutions for doubly nonlinear Schrödinger equations on the real line with a defocusing standard nonlinearity and a focusing nonlinear point interaction o…
Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions
Simone Dovetta, Enrico Serra, Lorenzo Tentarelli
We provide a non-uniqueness result for normalized ground states of nonlinear Schrödinger equations with pure power nonlinearity on polygons with homogeneous Neumann boundary condit…
Reaction-diffusion systems from kinetic models for bacterial communities on a leaf surface
Marzia Bisi, Davide Cusseddu, Ana Jacinta Soares +1
Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We prese…
Ground states for the NLS on non-compact graphs with an attractive potential
Riccardo Adami, Ivan Gallo, David Spitzkopf
We consider the subcritical nonlinear Schrödinger equation on non-compact quantum graphs with an attractive potential supported in the compact core, and investigate the existence a…