Isocapacitary constants associated with $p$-Laplacian on graphs

Bobo Hua; Lili Wang

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arXiv · 2511.04039

Isocapacitary constants associated with $p$-Laplacian on graphs

Bobo Hua·Lili Wang

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Abstract

In this paper, we introduce isocapacitary constants for the $p$-Laplacian on graphs and apply them to derive estimates for the first eigenvalues of the Dirichlet $p$-Laplacian, the Neumann $p$-Laplacian, and the $p$-Steklov problem.

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Bobo Hua, Lili Wang. 2025-11-06. Isocapacitary constants associated with $p$-Laplacian on graphs. https://arxiv.org/abs/2511.04039

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