2 papers
math.AP2026
Spectral properties and bound states of the Dirac equation on periodic quantum graphs
Zhipeng Yang, Ling Zhu
We investigate nonlinear Dirac equations on a periodic quantum graph and develop a variational approach to the existence and multiplicity of bound states. After introducing the…
math.AP2026
Bound states of nonlinear Dirac equations on periodic quantum graphs
Zhipeng Yang, Ling Zhu
We study nonlinear Dirac equations (NLDE) on periodic quantum graphs endowed with Kirchhoff-type vertex conditions. Our main goal is to establish existence and multiplicity of boun…