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

Chunlian Liu; Yating Ge; Linfeng Wang

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arXiv · 2511.22097

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

Chunlian Liu·Yating Ge·Linfeng Wang

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Abstract

We investigate the Chern-Simons Higgs models for p-Laplacian on a connected finite graph, employing topological degree theory as our main tool. Notably, we overcome the difficulties arising from the nonlinearity of p-Laplacian operator and calculate the corresponding topological degree through a more general approach.

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Chunlian Liu, Yating Ge, Linfeng Wang. 2025-11-27. Chern-Simons Higgs models for p-Laplacian on finite graphs: a topological degree approach. https://arxiv.org/abs/2511.22097

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