3 papers
math.AP2009
Multiple positive solutions for a Schrödinger-Poisson-Slater system
Gaetano Siciliano
In this paper we investigate the existence of positive solutions to the following Schrödinger-Poisson-Slater system [c]{ll} - Δu+ u + λϕu=|u|^{p-2}u & \text{in} Ω-Δϕ= u^{2} & \text…
math.AP2008★ 1 cited
Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems
Pietro d'Avenia, Lorenzo Pisani, Gaetano Siciliano
This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium…
math.AP2008
Magneto-static vortices in two dimensional Abelian gauge theories
J. Bellazzini, C. Bonanno, G. Siciliano
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 t…