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4 papers · 1 filter
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…
Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
G. C. Coclite, K. H. Karlsen, Y. -S. Kwon
We consider conservation laws with source terms in a bounded domain with Dirichlet boundary conditions. We first prove the existence of a strong trace at the boundary in order to p…
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…
On a "zero mass" nonlinear Schrodinger equation
Antonio Azzollini, Alessio Pomponio
We look for positive solutions to the nonlinear Schrodinger equation with a potential, under the hypothesis of zero mass on the nonlinearity, in a particular situation. Existence a…