Chern–Simons Higgs models for  p -Laplacian on finite graphs: a topological degree approach

Key Points

• This research aims to explore Chern–Simons Higgs models within the context of the p-Laplacian on finite graphs, utilizing topological degree theory.
• Utilized topological degree theory as the primary analytical tool.
• Addressed the nonlinearity challenges associated with the p-Laplacian operator.
• Calculated the topological degree through a more general method.
• Successfully calculated the topological degree for the Chern–Simons Higgs models.
• Demonstrated a robust approach to dealing with the p-Laplacian's nonlinearity.