The BV-capacity in metric spaces

From MaRDI portal
Publication:967642

DOI10.1007/s00229-010-0337-5zbMath1194.28001OpenAlexW1986416811MaRDI QIDQ967642

Heikki Hakkarainen, Juha Kinnunen

Publication date: 30 April 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0337-5




Related Items (41)

The variational 1-capacity and BV functions with zero boundary values on doubling metric spacesA new Cartan-type property and strict quasicoverings when $p=1$ in metric spacesAn analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stabilityThe Besov capacity in metric spacesFunctional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \)A note on BV capacities on Grushin spacesOn locally essentially bounded divergence measure fields and sets of locally finite perimeterA Federer-style characterization of sets of finite perimeter on metric spacesSuperminimizers and a weak Cartan property for \(p = 1\) in metric spacesThe variable exponent BV-Sobolev capacityThe Choquet and Kellogg properties for the fine topology when \(p=1\) in metric spacesThe bounded variation capacity and Sobolev-type inequalities on Dirichlet spacesBV capacity and perimeter in abstract Wiener spaces and applicationsExistence of parabolic minimizers to the total variation flow on metric measure spacesCapacitary density and removable sets for Newton-Sobolev functions in metric spacesRemovable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open setsStrong approximation of sets of finite perimeter in metric spacesApproximation of BV by SBV functions in metric spacesTrace theorems for functions of bounded variation in metric spacesBV capacity and Sobolev capacity for the Laguerre operatorRelative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spacesCapacity \& perimeter from \(\alpha\)-Hermite bounded variationA new capacity for the affine bounded variationA pointwise characterization of functions of bounded variation on metric spacesOn the regularity of the maximal function of a BV functionThe total variation flow with time dependent boundary valuesFine properties and a notion of quasicontinuity for BV functions on metric spacesCapacities and 1-strict subsets in metric spacesA notion of fine continuity for BV functions on metric spacesBV capacity on generalized Grushin planeComparisons of relative BV-capacities and Sobolev capacity in metric spacesUnnamed ItemRestriction of heat equation with Newton-Sobolev data on metric measure spaceDiscrete convolutions of \(\text{BV}\) functions in quasiopen sets in metric spacesQuasiopen sets, bounded variation and lower semicontinuity in metric spacesThe \(\infty \)-capacity and Faber-Krahn inequality on Grushin spacesA new Federer-type characterization of sets of finite perimeterA Time Dependent Variational Approach to Image RestorationGaussian BV Functions and Gaussian BV Capacity on Stratified GroupsOn rough traces of BV functionsAspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces



Cites Work


This page was built for publication: The BV-capacity in metric spaces