On the blow-up of GSBV functions under suitable geometric properties of the jump set

DOI10.1515/acv-2019-0068zbMath1497.28003OpenAlexW2966747745WikidataQ126318963 ScholiaQ126318963MaRDI QIDQ2119560

Emanuele Tasso

Publication date: 29 March 2022

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

Full work available at URL: https://doi.org/10.1515/acv-2019-0068

zbMATH Keywords

capacityblow-upPoincaré's inequalityperimeterjump setisoperimetric profilerectifiable setCheeger's constantindecomposable setspecial bounded variation

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Potentials and capacities on other spaces (31C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Cheeger sets in strips and non-convex domains
• Piecewise rigidity
• A simple proof of Zahorski's description of non-differentiability sets of Lipschitz functions
• Quasistatic crack growth in nonlinear elasticity
• Microstructures with finite surface energy: The two-well problem
• On the approximation of SBV functions
• Sets of Finite Perimeter and Geometric Variational Problems
• An Overview on the Cheeger Problem
• Weakly Differentiable Functions
• Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
• On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)

This page was built for publication: On the blow-up of GSBV functions under suitable geometric properties of the jump set