𝐿^{𝑝} regularity of least gradient functions

DOI10.1090/proc/15031zbMath1444.35037arXiv1904.11348OpenAlexW3005592070MaRDI QIDQ5111511

Wojciech Górny

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11348

zbMATH Keywords

regularityanisotropyleast gradient problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

The trace space of anisotropic least gradient functions depends on the anisotropy

Cites Work

• The Euler-Lagrange equation for the anisotropic least gradient problem
• Special cases of the planar least gradient problem
• Planar least gradient problem: existence, regularity and anisotropic case
• Existence and uniqueness of minimizers of general least gradient problems
• A notion of total variation depending on a metric with discontinuous coefficients
• Stability and continuity of functions of least gradient
• Minimal cones and the Bernstein problem
• Existence of minimisers in the least gradient problem for general boundary data
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