G
Giorgio Stefani
Publications - 35
Citations - 174
Giorgio Stefani is an academic researcher. The author has contributed to research in topics: Sobolev space & Bounded function. The author has an hindex of 5, co-authored 20 publications receiving 72 citations.
Papers
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A distributional approach to fractional Sobolev spaces and fractional variation: Existence of blow-up
Giovanni E. Comi,Giorgio Stefani +1 more
TL;DR: In this paper, a new space B V α (R n ) of functions with bounded fractional variation in R n of order α ∈ ( 0, 1 ) via a new distributional approach exploiting suitable notions of fractional gradient and fractional divergence already existing in the literature is introduced.
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A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II
TL;DR: In this paper, it was shown that the fractional De Giorgi's variation converges to the standard fractional variation both pointwise and in the ε-limit sense.
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On the monotonicity of perimeter of convex bodies
TL;DR: In this paper, the authors prove a quantitative lower bound on the difference of the anisotropic Hausdorff distance between two convex bodies in terms of their Hausodorff distance.
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Improved Lipschitz approximation of H-perimeter minimizing boundaries
Roberto Monti,Giorgio Stefani +1 more
TL;DR: In this paper, the authors proved two new approximation results of H-perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group H n with n ≥ 2.
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Failure of the local chain rule for the fractional variation
Giovanni E. Comi,Giorgio Stefani +1 more
TL;DR: In this article , it was shown that the local version of the chain rule cannot hold for the fractional variation defined in arXiv:1809.08575, and that the failure of the local chain rule is a consequence of some surprising rigidity properties for non-negative functions with bounded fractional variations.