Isocapacitary constants for the $p$-Laplacian on compact manifolds
Differential Geometry
2026-01-01 v1 Analysis of PDEs
Abstract
In this paper, we introduce Steklov and Neumann isocapacitary constants for the -Laplacian on compact manifolds. These constants yield two-sided bounds for the -Sobolev constants, which degenerate to upper and lower bounds for the first nontrivial Steklov and Neumann eigenvalues of the -Laplacian when .
Keywords
Cite
@article{arxiv.2512.24725,
title = {Isocapacitary constants for the $p$-Laplacian on compact manifolds},
author = {Lili Wang and Tao Wang},
journal= {arXiv preprint arXiv:2512.24725},
year = {2026}
}