Year: 2026
Type: article
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 .
Source: Journal of Geometric Analysis
Author: Giorgio Stefani
Institution: University of Padua
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4416022582
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