7 papers
Non-radial minimizers for the first eigenvalue of the Laplacian in cones and a related overdetermined problem
Danilo Gregorin Afonso
In this work, we consider relative overdetermined problems for the first eigenfunction of the Laplacian for domains in cones, and the related question of minimizing the first eigen…
Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains
Danilo Gregorin Afonso, Bruno Mascaro
In this paper, we show that the Schrödinger-Bopp-Podolsky system with Dirichlet boundary conditions in a bounded domain possesses infinitely many solutions of prescribed frequency,…
Semilinear equations in bounded cylinders: Morse index and bifurcation from one-dimensional solutions
Danilo Gregorin Afonso
In this paper, we study semilinear elliptic equations in domains where there is a natural class of solutions, which depend only on one variable, and whose simple geometry reflects…
Energy stability for a class of semilinear elliptic problems
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper, we consider semilinear elliptic problems in a bounded domain contained in a given unbounded Lipschitz domain . Our aim is to stud…
Overdetermined problems and relative Cheeger sets in unbounded domains
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper we study a partially overdetermined mixed boundary value problem for domains contained in an unbounded set . We introduce the notion of Cheeger set re…
Intercultural Science-Art Project 'Magritte Meet Science'
Danilo Gregorin Afonso, Mary Oluwabunmi Akinade, Đorđe Baralić +10
In this manuscript a joint project between young researchers from all around the world, the Intercultural Science-Art Project, is presented, in which all participants interpreted t…
Normalized solutions to a Schrödinger-Bopp-Podolsky system under Neumann boundary conditions
Danilo Gregorin Afonso, Gaetano Siciliano
In this paper we study a Schrödinger-Bopp-Podolsky system of partial differential equations in a bounded and smooth domain of with a non constant coupling factor. Und…