2008/03/19 by Jacopo Bellazzini, Claudio Bonanno, Bellazzini, J. +3
Engineering · Mathematics · #35J20 #35J60 #35Q60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
paper · pdf · doi:10.48550/arxiv.0803.2784
openalex publication_date 2008/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e when the electric potential ϕ=0. This result, due to the lack of suitable embedding theorems for the vector potential \A is achieved with the help of a penalization method.