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- 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