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Original Article

Potential Theoretic Capacities in Mathematical Physics

Liguang Liu1, Jie Xiao2( )
School of Mathematics, Renmin University of China, Beijing, China
Department of Mathematics & Statistics, Memorial University, St. John’s, Canada
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Abstract

This paper mainly addresses three perspectives: potential analysis–variational calculus–convex geometry, of the potential theoretic capacities arising from mathematical physics.

Keywords

Riesz-type potential/capacityPotential theoretic capacityCoulomb-type energy

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Peking Mathematical Journal
Volume 9 Issue 3,
September 2026
Pages 507-564
DOI: 10.1007/s42543-024-00095-7

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Cite this article:
Liu, L., Xiao, J. Potential Theoretic Capacities in Mathematical Physics. Peking Math J 9, 507-564 (2026). https://doi.org/10.1007/s42543-024-00095-7

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Received: 26 March 2024
Revised: 28 October 2024
Accepted: 11 December 2024
Published: 06 February 2025
© Peking University 2025