2 papers
math.AP2025
Nonlinear Dirac equations on noncompact quantum graphs with potentials: Multiplicity and Concentration
Guangze Gu, Ziwei Li, Michael Ruzhansky +1
In this paper, we study the existence and multiplicity of solutions to the following class of nonlinear Dirac equations (NLDE) on noncompact quantum graphs: \[ -i\,\varepsilon c\,Ï…
math.AP2025
Nonrelativistic limit of bound-state solutions for nonlinear Dirac equation on noncompact quantum graphs
Guangze Gu, Michael Ruzhansky, Guoyan Wei +1
In this paper, we investigate the nonrelativistic limit and qualitative properties of bound-state solutions for the nonlinear Dirac equation (NLDE) defined on noncompact quantum gr…