46 citations · 91 across the 17 of their papers we have counts for
21 papers
Sharp Quantitative Stability of the Dirichlet spectrum near the ball
Dorin Bucur, Jimmy Lamboley, Mickaël Nahon +1
Let be an open set with the same volume as the unit ball and let be the -th eigenvalue of the Laplace operator of with Dirichlet boundary…
Regularity in shape optimization under convexity constraint
Jimmy Lamboley, Raphaël Prunier
This paper is concerned with the regularity of shape optimizers of a class of isoperimetric problems under convexity constraint. We prove that minimizers of the sum of the perimete…
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains
Jimmy Lamboley, Arian Novruzi, Michel Pierre
In this paper we prove that solutions to several shape optimization problems in the plane, with a convexity constraint on the admissible domains, are polygons. The main terms of th…
Existence and regularity of Faber Krahn minimizers in a Riemannian manifold
Jimmy Lamboley, Pieralberto Sicbaldi
In this paper, we study the minimization of , the first Dirichlet eigenvalue of the Laplace-Beltrami operator, within the class of open sets of fixed volume in a Riem…
Free boundary problems involving singular weights
Jimmy Lamboley, Yannick Sire, Eduardo V. Teixeira
In this paper we initiate the investigation of free boundary minimization problems ruled by general singular operators with weights. We show existence and boundedness of mini…
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…