Guido De Philippis

activity

20102026

most citedGamma-convergence of nonlocal perimeter functionals

199 citations · 522 across the 42 of their papers we have counts for

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2 papers · 1 filter

math.OC2016

Regularity of Minimizers of Shape Optimization Problems involving Perimeter

Guido De Philippis, Jimmy Lamboley, Michel Pierre +1

We prove existence and regularity of optimal shapes for the problem $min {P (Ω) + G (Ω) : Ω \subset D, ∣Ω∣ = m},$ where $P$ denotes the perimeter, $∣ \cdot ∣$ is the vo…

math.OC2015★ 53 cited

BV Estimates in Optimal Transportation and Applications

Guido De Philippis, Alpár Mészáros, Filippo Santambrogio +1

In this paper we study the BV regularity for solutions of variational problems in Optimal Transportation. As an application we recover BV estimates for solutions of some non-linear…