The variational 1-capacity and BV functions with zero boundary values on doubling metric spaces

DOI10.1515/acv-2018-0024zbMath1468.30098arXiv1708.09318OpenAlexW2963401700WikidataQ129078993 ScholiaQ129078993MaRDI QIDQ831229

Panu Lahti

Publication date: 11 May 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09318

zbMATH Keywords

bounded variationzero boundary valuesmetric measure spaceouter capacityquasi-semicontinuityvariational capacity

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

Related Items (5)

Non-locality, non-linearity, and existence of solutions to the Dirichlet problem for least gradient functions in metric measure spaces ⋮ BV capacity and Sobolev capacity for the Laguerre operator ⋮ Federer's characterization of sets of finite perimeter in metric spaces ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ BV capacity for the Schrödinger operator with an inverse-square potential

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