On smooth interior approximation of sets of finite perimeter
From MaRDI portal
Publication:5880230
DOI10.1090/proc/15640OpenAlexW4321187022MaRDI QIDQ5880230
Yeyao Hu, Qinfeng Li, Changfeng Gui
Publication date: 7 March 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.11734
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- BV supersolutions to equations of 1-Laplace and minimal surface type
- One-sided approximation of sets of finite perimeter
- Pseudoconvex sets
- Divergence-measure fields and hyperbolic conservation laws
- The prescribed mean curvature equation in weakly regular domains
- Morrey spaces and generalized Cheeger sets
- Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets
- Divergence-measure fields, sets of finite perimeter, and conservation laws
- Extensions and traces of BV functions in rough domains and generalized Cheeger sets
- Sets of Finite Perimeter and Geometric Variational Problems
- Traces and extensions of bounded divergence-measure fields on rough open sets
- Strict interior approximation of sets of finite perimeter and functions of bounded variation
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws