Rigidity and trace properties of divergence-measure vector fields

DOI10.1515/acv-2019-0094zbMath1491.35122arXiv1708.01393OpenAlexW2743895475MaRDI QIDQ2119562

Gian Paolo Leonardi, Giorgio Saracco

Publication date: 29 March 2022

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

Full work available at URL: https://arxiv.org/abs/1708.01393

zbMATH Keywords

rigidityweak normal tracedivergence-measure vector field

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Linear first-order PDEs (35F05) Length, area, volume, other geometric measure theory (28A75) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (5)

On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ The prescribed mean curvature equation in weakly regular domains ⋮ Representation formulas for pairings between divergence-measure fields and \(BV\) functions ⋮ Pairings between bounded divergence-measure vector fields and BV functions ⋮ On the structure of divergence-free measures on \(\mathbb{R}^2\)

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