Jimmy Lamboley

activity

20062023

most citedRegularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints

46 citations · 91 across the 17 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016

Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions

Jimmy Lamboley, Antoine Laurain, Grégoire Nadin +1

In this paper, we are interested in the analysis of a well-known free boundary/shape optimization problem motivated by some issues arising in population dynamics. The question is t…

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…