Multiple solutions to the nonlinear Dirac systems on compact spin manifolds with boundary.

Dong, Xiaojing; Tang, Zhongwei; Zhang, Xiaojing

This paper was concerned with the mutiplicity of solutions to a coupled nonlinear Dirac system on the compact spin manifold with boundary. We set up the variational setting and analysis arguments for the Dirac system accompanied with a potential and the local elliptic boundary condition. More precisely, through the analysis of the spectrum about the Dirac operator with a potential, by the using variational method and truncation technique, we obtained two sequences of solutions with different energies of the system.

DIRAC operators; NONLINEAR equations; NONLINEAR systems; SPECTRUM analysis; ARGUMENT; DIRAC equation

Communications on Pure & Applied Analysis, 2025, Vol 24, Issue 4, p1

1534-0392

Academic Journal

10.3934/cpaa.2025004