On Blow-ups of Sets with Finite Fractional Variation
Abstract
Abstract Given $$\alpha \in (0,1)$$ α ∈ ( 0 , 1 ) and a set $$E\subset \mathbb {R}^N$$ E ⊂ R N with locally finite fractional $$\alpha $$ α -variation, we show that, for $$|D^\alpha {\textbf{1}}_E|$$ | D α 1 E | -a.e. x , every non-trivial tangent set of E at x with locally finite integer perimeter is a half-space oriented by the fractional inner unit normal of E at x .
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Harmonic Analysis Research
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 6
- Publication date
- 11 May 2026
- Language
- EN