The variational capacity with respect to nonopen sets in metric spaces

DOI10.1007/s11118-013-9341-1zbMath1319.31013arXiv1210.0352OpenAlexW3098461301MaRDI QIDQ2436547

Jana Björn, Anders Björn

Publication date: 25 February 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0352

zbMATH Keywords

fine potential theoryChoquet capacityvariational capacity on metric spaces

Mathematics Subject Classification ID

Fine potential theory; fine properties of sets and functions (31C40) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05)

Related Items (12)

The annular decay property and capacity estimates for thin annuli ⋮ The variational 1-capacity and BV functions with zero boundary values on doubling metric spaces ⋮ A new Cartan-type property and strict quasicoverings when $p=1$ in metric spaces ⋮ Sharp capacity estimates for annuli in weighted \(\mathbf {R}^n\) and in metric spaces ⋮ A Federer-style characterization of sets of finite perimeter on metric spaces ⋮ The Choquet and Kellogg properties for the fine topology when \(p=1\) in metric spaces ⋮ Existence and almost uniqueness for \(p\)-harmonic Green functions on bounded domains in metric spaces ⋮ Volume growth, capacity estimates, \(p\)-parabolicity and sharp integrability properties of \(p\)-harmonic Green functions ⋮ Convergence and local-to-global results for \(p\)-superminimizers on quasiopen sets ⋮ Approximation of BV by SBV functions in metric spaces ⋮ Restriction of heat equation with Newton-Sobolev data on metric measure space ⋮ Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology

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