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Blaschke-Santaló diagram for volume, perimeter and first Dirichlet eigenvalue

Ilias Ftouhi , Jimmy Lamboley
SIAM Journal on Mathematical Analysis, 2020
Article dans une revue hal-02850711v2
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Regularity and singularities of Optimal Convex shapes in the plane

Jimmy Lamboley , Michel Pierre , Arian Novruzi
Archive for Rational Mechanics and Analysis, 2012, 205 (1), pp.311-343
Article dans une revue hal-00651557v1
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Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold

Jimmy Lamboley , Pieralberto Sicbaldi
2020
Pré-publication, Document de travail hal-02283353v2
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Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints

Tanguy Briançon , Jimmy Lamboley
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009, 26 (4), pp.1149-1163. ⟨10.1016/j.anihpc.2008.07.003⟩
Article dans une revue hal-00296590v1
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Polygons as optimal shapes with convexity constraint

Jimmy Lamboley , Arian Novruzi
SIAM Journal on Control and Optimization, 2009, 48 (5), pp.3003-3025
Article dans une revue hal-00362329v1
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Regularity of optimal spectral domains

Jimmy Lamboley , Michel Pierre
Shape optimization and Spectral theory, pp.29-77, 2017, 978-3-11-055088-7
Chapitre d'ouvrage hal-01322817v1
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Stability in shape optimization with second variation

Marc Dambrine , Jimmy Lamboley
Journal of Differential Equations, 2019, 267 (5), pp.3009-3045. ⟨10.1016/j.jde.2019.03.033⟩
Article dans une revue hal-01073089v7
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Optimal convex shapes for concave functionals

Dorin Bucur , Ilaria Fragalà , Jimmy Lamboley
ESAIM: Control, Optimisation and Calculus of Variations, 2011, pp.E-first
Article dans une revue hal-00564691v1
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Regularity for the optimal compliance problem with length penalization

Antonin Chambolle , Jimmy Lamboley , Antoine Lemenant , Eugene Stepanov
SIAM Journal on Mathematical Analysis, 2017
Article dans une revue hal-01248284v3
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Sharp bounds for the p-torsion of convex planar domains

Ilaria Fragalà , Filippo Gazzola , Jimmy Lamboley
Geometric Properties for Parabolic and Elliptic PDE's, Jun 2011, Italy. pp.97-115
Communication dans un congrès hal-00654228v1
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Variations autour de formes irrégulières et optimales

Jimmy Lamboley
Mathématiques [math]. École normale supérieure de Cachan - ENS Cachan, 2008. Français. ⟨NNT : ⟩
Thèse tel-00346316v1
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Regularity in shape optimization under convexity constraint

Jimmy Lamboley , Raphaël Prunier
2024
Pré-publication, Document de travail hal-03644346v2
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Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions

Jimmy Lamboley , Antoine Laurain , Grégoire Nadin , Yannick Privat
Calculus of Variations and Partial Differential Equations, 2016, 55 (6)
Article dans une revue hal-01295457v4
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Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems

Ilaria Fragalà , Filippo Gazzola , Jimmy Lamboley , Michel Pierre
Analysis, 2009, 29 (1), pp.85-93
Article dans une revue hal-00362312v1
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On the local minimizers of the Mahler volume

Evans Harrell , Antoine Henrot , Jimmy Lamboley
Journal of Convex Analysis, 2015, 22 (3), pp.809-825
Article dans une revue inria-00586882v2
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Regularity of Minimizers of Shape Optimization Problems involving Perimeter

Guido de Philippis , Jimmy Lamboley , Michel Pierre , Bozhidar Velichkov
Journal de Mathématiques Pures et Appliquées, 2018, 109, pp.147-181. ⟨10.1016/j.matpur.2017.05.021⟩
Article dans une revue hal-01318549v2
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New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary

Jimmy Lamboley , Pieralberto Sicbaldi
International Mathematics Research Notices, 2014, 2015, pp.8752-8798. ⟨10.1093/imrn/rnu211⟩
Article dans une revue hal-01074375v1
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About Hölder-regularity of the convex shape minimizing λ2

Jimmy Lamboley
Applicable Analysis, 2010, pp.1
Article dans une revue hal-00530272v1
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Estimates of First and Second Order Shape Derivatives in Nonsmooth Multidimensional Domains and Applications

Jimmy Lamboley , Arian Novruzi , Michel Pierre
Journal of Functional Analysis, 2016, 270 (7), pp.2616-2652. ⟨10.1016/j.jfa.2016.02.013⟩
Article dans une revue hal-01143412v2
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An extremal eigenvalue problem for the Wentzell-Laplace operator

Marc Dambrine , Djalil Kateb , Jimmy Lamboley
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2015, 33 (2), pp.409-450. ⟨10.1016/j.anihpc.2014.11.002⟩
Article dans une revue hal-00937113v2
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FREE BOUNDARY PROBLEMS INVOLVING SINGULAR WEIGHTS

Jimmy Lamboley , Yannick Sire , Eduardo V Teixeira
2018
Pré-publication, Document de travail hal-01716265v1
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Structure of shape derivatives around irregular domains and applications

Jimmy Lamboley , Michel Pierre
Journal of Convex Analysis, 2007, 14 (4), pp.807-822
Article dans une revue hal-00095949v1