Multiple solutions for a Schr\"odinger-Bopp-Podolsky system with positive potentials
Giovany M. Figueiredo, Gaetano Siciliano
TL;DR
This paper proves the existence of multiple solutions for a Schr"odinger-Bopp-Podolsky system with positive potentials using advanced topological methods, highlighting the system's rich solution structure.
Contribution
It introduces a novel application of Ljusternick-Schnirelmann and Morse theories to establish multiple solutions with specified interaction energy.
Findings
Multiple solutions exist for the system under positive potentials.
The solutions are characterized by a priori interaction energy.
Topological methods effectively demonstrate solution multiplicity.
Abstract
In the paper we prove existence of solutions for a Schr\"odinger-Bopp-Podolsky system under positive potentials. We use the Ljusternick-Schnirelmann and Morse Theories to get multiple solutions with a priori given ``interaction energy''.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics · Differential Equations and Boundary Problems