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arXiv · 2608.17296

Capacities-to-masses for Laplace-Beltrami operators on complete Riemannian manifolds

Xiaoshang Jin·Jie Xiao
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Abstract

This paper presents an innovative approach to the capacities-to-masses for the Laplace-Beltrami operators on the complete Riemannian manifolds, unexpectedly solving the open problem posed within \cite[Remark 2.16]{GPS} on the limiting variational capacity.

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Xiaoshang Jin, Jie Xiao. 2026-08-18. Capacities-to-masses for Laplace-Beltrami operators on complete Riemannian manifolds. https://arxiv.org/abs/2608.17296

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