Not all traces on the circle come from functions of least gradient in the disk

DOI10.1512/iumj.2014.63.5421zbMath1308.30048arXiv1311.1494OpenAlexW2039195009MaRDI QIDQ5175006

Gregory S. Spradlin, Alexandru Tamasan

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1494

zbMATH Keywords

least gradient problemtraces of functions of bounded variation

Mathematics Subject Classification ID

Miscellaneous topics of analysis in the complex plane (30E99) Boundary value problems for first-order elliptic systems (35J56)

Related Items (26)

The Euler-Lagrange equation for the anisotropic least gradient problem ⋮ Continuity of minimizers to weighted least gradient problems ⋮ Least gradient problem on annuli ⋮ \( W^{1, p}\) regularity on the solution of the BV least gradient problem with Dirichlet condition on a part of the boundary ⋮ Planar least gradient problem: existence, regularity and anisotropic case ⋮ The planar least gradient problem in convex domains: the discontinuous case ⋮ Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions ⋮ Applications of optimal transport methods in the least gradient problem ⋮ Multi-target regression via input space expansion: treating targets as inputs ⋮ The trace space of anisotropic least gradient functions depends on the anisotropy ⋮ Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem ⋮ Least gradient problem with Dirichlet condition imposed on a part of the boundary ⋮ Non-locality, non-linearity, and existence of solutions to the Dirichlet problem for least gradient functions in metric measure spaces ⋮ Least gradient problem with respect to a non-strictly convex norm ⋮ Stability of Current Density Impedance Imaging ⋮ Unnamed Item ⋮ Existence of minimisers in the least gradient problem for general boundary data ⋮ The planar least gradient problem in convex domains, the case of continuous datum ⋮ Special cases of the planar least gradient problem ⋮ \(L^p\) bounds for boundary-to-boundary transport densities, and \(W^{1,p}\) bounds for the BV least gradient problem in 2D ⋮ (Non)uniqueness of minimizers in the least gradient problem ⋮ Existence and structure of minimizers of least gradient problems ⋮ Stability of current density impedance imaging. II ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems ⋮ Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient ⋮ Existence and structure of \(P\)-area minimizing surfaces in the Heisenberg group

This page was built for publication: Not all traces on the circle come from functions of least gradient in the disk