E
Elia Bruè
Researcher at Institute for Advanced Study
Publications - 43
Citations - 538
Elia Bruè is an academic researcher from Institute for Advanced Study. The author has contributed to research in topics: Sobolev space & Measure (mathematics). The author has an hindex of 10, co-authored 33 publications receiving 287 citations. Previous affiliations of Elia Bruè include Scuola Normale Superiore di Pisa.
Papers
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Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows
Elia Bruè,Daniele Semola +1 more
TL;DR: In this paper, a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K,N) metric measure spaces was proved for a newly defined quasi-metric built from the Green function of the Laplacian.
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Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields
Elia Bruè,Quoc-Hung Nguyen +1 more
TL;DR: In this paper, the authors prove sharp regularity estimates for solutions of the continuity equation associated to vector fields of class W 1,p with p > 1 for any constant p > 0.
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Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Elia Bruè,Daniele Semola +1 more
TL;DR: In this article, a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K,N) metric measure spaces was proved for a newly defined quasi-metric built from the Green function of the Laplacian.
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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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Rectifiability of the reduced boundary for sets of finite perimeter over $\RCD(K,N)$ spaces.
TL;DR: In this article, a Gauss-Green integration by parts formula tailored to the setting of sets of finite perimeter over RCD$(K,N) metric measure spaces is presented.