Year: 2024
Type: article
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.
DOI: 10.3934/cpaa.2025004
Authors: Xiaojing Dong, Zhongwei Tang, Xiaojing Zhang
Institution: Beijing Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403548112