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arXiv · 2606.07295

Kohler-Jobin inequality for $p$-Laplace operator

Francesco Chiacchio·Vincenzo Ferone·Anna Mercaldo·Jing Wang
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Abstract

A sharp lower bound for the first Dirichlet eigenvalue of the $p$-laplacian is derived for sets with prescribed $p$-torsional rigidity. The result provides an extension of the classical spectral inequality due to Kohler-Jobin. The proof is based on a careful analysis of the generalized $p$-torsional rigidity and on a sharp mass comparison result.

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Francesco Chiacchio, Vincenzo Ferone, Anna Mercaldo, Jing Wang. 2026-06-05. Kohler-Jobin inequality for $p$-Laplace operator. https://arxiv.org/abs/2606.07295

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