Title

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

Authors

Dong, Xiaojing; Tang, Zhongwei; Zhang, Xiaojing

Abstract

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.

Subjects

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

Publication

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

ISSN

1534-0392

Publication type

Academic Journal

DOI

10.3934/cpaa.2025004