Corentin Léna

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All published works

Action	Title	Year	Authors
+ PDF Chat	Nodal counts for the Robin problem on Lipschitz domains	2024	Katie Gittins Asma Hassannezhad Corentin Léna David A. Sher
+ PDF Chat	Eigenvalues of the Neumann magnetic Laplacian in the unit disk	2024	Bernard Helffer Corentin Léna
+	A reverse Faber-Krahn inequality for the magnetic Laplacian	2024	Bruno Colbois Corentin Léna Luigi Provenzano Alessandro Savo
+ PDF Chat	Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width	2024	Corentin Léna Jonathan Rohleder
+ PDF Chat	A reverse Faber-Krahn inequality for the magnetic Laplacian	2024	Bruno Colbois Corentin Léna Luigi Provenzano Alessandro Savo
+	Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case	2023	Laura Abatangelo Corentin Léna Paolo Musolino
+	Geometric bounds for the magnetic Neumann eigenvalues in the plane	2023	Bruno Colbois Corentin Léna Luigi Provenzano Alessandro Savo
+	Geometric bounds for the magnetic Neumann eigenvalues in the plane	2023	Bruno Colbois Corentin Léna Luigi Provenzano Alessandro Savo
+	Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case	2023	Laura Abatangelo Corentin Léna Paolo Musolino
+	Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width	2023	Corentin Léna Jonathan Rohleder
+ PDF Chat	Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains	2022	Laura Abatangelo Corentin Léna Paolo Musolino
+ PDF Chat	A theory of spectral partitions of metric graphs	2021	James B. Kennedy Pavel Kurasov Corentin Léna Delio Mugnolo
+	Pleijel's theorem for Schrödinger operators	2021	Philippe Charron Corentin Léna
+	Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains	2021	Laura Abatangelo Corentin Léna Paolo Musolino
+ PDF Chat	Asymptotic behavior of <i>u</i>-capacities and singular perturbations for the Dirichlet-Laplacian	2020	Laura Abatangelo Virginie Bonnaillie‐Noël Corentin Léna Paolo Musolino
+	Concrete method for recovering the Euler characteristic of quantum graphs	2020	Corentin Léna Andrea Serio
+	A theory of spectral partitions of metric graphs	2020	James B. Kennedy Pavel Kurasov Corentin Léna Delio Mugnolo
+ PDF Chat	On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics –	2020	B. Helffer T. Hoffmann-Ostenhof François Jauberteau Corentin Léna
+ PDF Chat	Upper bounds for Courant-sharp Neumann and Robin eigenvalues	2020	Katie Gittins Corentin Léna
+	A theory of spectral partitions of metric graphs	2020	James B. Kennedy Pavel Kurasov Corentin Léna Delio Mugnolo
+	Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian	2019	Laura Abatangelo Virginie Bonnaillie‐Noël Corentin Léna Paolo Musolino
+ PDF Chat	Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications	2019	Laura Abatangelo Veronica Felli Corentin Léna
+	On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains--with some numerics--	2019	Bernard Helffer Thomas Hoffmann-Ostenhof François Jauberteau Corentin Léna
+ PDF Chat	Pleijel’s nodal domain theorem for Neumann and Robin eigenfunctions	2019	Corentin Léna
+	Asymptotic behavior of $u$-capacities and singular perturbations for the Dirichlet-Laplacian	2019	Laura Abatangelo Virginie Bonnaillie‐Noël Corentin Léna Paolo Musolino
+ PDF Chat	Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators	2018	Laura Abatangelo Veronica Felli Luc Hillairet Corentin Léna
+	Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications	2018	Laura Abatangelo Veronica Felli Corentin Léna
+	Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications	2018	Laura Abatangelo Veronica Felli Corentin Léna
+	Upper bounds for Courant-sharp Neumann and Robin eigenvalues	2018	Katie Gittins Corentin Léna
+ PDF Chat	On Aharonov–Bohm Operators with Two Colliding Poles	2017	Laura Abatangelo Veronica Felli Corentin Léna
+ PDF Chat	Examples of spectral minimal partitions	2017	Corentin Léna
+	Examples of spectral minimal partitions	2017	Corentin Léna
+	On Aharonov-Bohm operators with two colliding poles	2016	Laura Abatangelo Veronica Felli Corentin Léna
+	Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators	2016	Laura Abatangelo Veronica Felli Luc Hillairet Corentin Léna
+	Pleijel's nodal domain theorem for Neumann eigenfunctions	2016	Corentin Léna
+ PDF Chat	Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions	2016	Corentin Léna
+	Spectral Minimal Partitions for a Family of Tori	2016	Virginie Bonnaillie‐Noël Corentin Léna
+	Courant-sharp eigenvalues of the three-dimensional square torus	2016	Corentin Léna
+	On Aharonov-Bohm operators with two colliding poles	2016	Laura Abatangelo Veronica Felli Corentin Léna
+	Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators	2016	Laura Abatangelo Veronica Felli Luc Hillairet Corentin Léna
+	Courant-sharp eigenvalues of the three-dimensional square torus	2015	Corentin Léna
+ PDF Chat	Courant-sharp eigenvalues of a two-dimensional torus	2015	Corentin Léna
+	Courant-sharp eigenvalues of a two-dimensional torus	2015	Corentin Léna
+ PDF Chat	Eigenvalues variations for Aharonov-Bohm operators	2015	Corentin Léna
+	Courant-sharp eigenvalues of a two-dimensional torus	2015	Corentin Léna
+	Courant-sharp eigenvalues of the three-dimensional square torus	2015	Corentin Léna
+	On the parity of the number of nodal domains for an eigenfunction of the Laplacian on tori	2015	Corentin Léna
+	Spectral minimal partitions of a sector	2013	Virginie Bonnaillie‐Noël Corentin Léna
+	Contributions à l'étude des partitions spectrales minimales	2013	Corentin Léna

Common Coauthors

Coauthor	Papers Together
Laura Abatangelo	16
Veronica Felli	9
Paolo Musolino	7
Luigi Provenzano	4
Bruno Colbois	4
Alessandro Savo	4
James B. Kennedy	3
Pavel Kurasov	3
Virginie Bonnaillie‐Noël	3
Delio Mugnolo	3
Luc Hillairet	3
Virginie Bonnaillie‐Noël	2
Katie Gittins	2
Jonathan Rohleder	2
Bernard Helffer	2
François Jauberteau	2
Katie Gittins	1
Thomas Hoffmann-Ostenhof	1
Asma Hassannezhad	1
David A. Sher	1
B. Helffer	1
Andrea Serio	1
Philippe Charron	1
T. Hoffmann-Ostenhof	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Nodal domains and spectral minimal partitions	2007	Susanna Terracini Bernard Helffer Thomas Hoffmann-Ostenhof	17
+	Aharonov–Bohm Hamiltonians, isospectrality and minimal partitions	2009	Virginie Bonnaillie‐Noël Bernard Helffer Thomas Hoffmann-Ostenhof	9
+ PDF Chat	Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators	2018	Laura Abatangelo Veronica Felli Luc Hillairet Corentin Léna	8
+	Spectrum of Manifolds with Holes	1995	G. Courtois	8
+ PDF Chat	On a magnetic characterization of spectral minimal partitions	2013	Bernard Helffer Thomas Hoffmann-Ostenhof	8
+	Ein allgemeiner Satzt zur Theorie der Eigenfunktionen selbsadjungierter Differentialausdrücke	1923	Richard Courant	7
+ PDF Chat	On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole	2016	Laura Abatangelo Veronica Felli	6
+	Potential and scattering theory on wildly perturbed domains	1975	Jeffrey Rauch Michael E. Taylor	6
+	10 Nodal and spectral minimal partitions – The state of the art in 2016 –	2017	Virginie Bonnaillie‐Noël Bernard Helffer	6
+ PDF Chat	Pleijel’s nodal domain theorem for free membranes	2008	Iosif Polterovich	6
+ PDF Chat	Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou	1985	Gérard Besson	6
+	Spectra of manifolds less a small domain	1988	Isaac Chavel Edgar Feldman	6
+ PDF Chat	Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles	2015	Laura Abatangelo Veronica Felli	6
+ PDF Chat	Eigenvalues variations for Aharonov-Bohm operators	2015	Corentin Léna	6
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	6
+	Singular variation of domains and eigenvalues of the Laplacian	1981	Shin Ozawa	6
+	On the Aharonov–Bohm Operators with Varying Poles: The Boundary Behavior of Eigenvalues	2015	Benedetta Noris Manon Nys Susanna Terracini	5
+ PDF Chat	Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential	2010	Veronica Felli Alberto Ferrero Susanna Terracini	5
+	On a class of optimal partition problems related to the Fu?�k spectrum and to the monotonicity formulae	2004	Monica Conti Susanna Terracini Gianmaria Verzini	5
+ PDF Chat	On Spectral Minimal Partitions: the Case of the Sphere	2009	Bernard Helffer Thomas Hoffmann-Ostenhof Susanna Terracini	5
+ PDF Chat	On the eigenvalues of Aharonov–Bohm operators with varying poles	2014	Virginie Bonnaillie‐Noël Benedetta Noris Manon Nys Susanna Terracini	5
+ PDF Chat	Minimal partitions for anisotropic tori	2014	Bernard Helffer Thomas Hoffmann-Ostenhof	5
+ PDF Chat	Counting nodal lines which touch the boundary of an analytic domain	2009	John A. Toth Steve Zelditch	5
+ PDF Chat	Nodal sets of magnetic Schroedinger operators of Aharonov-Bohm type and energy minimizing partitions	2010	Benedetta Noris Susanna Terracini	5
+	Hardy inequalities for magnetic Dirichlet forms	1999	Ари Лаптев Timo Weidl	5
+ PDF Chat	On the number of nodal domains of spherical harmonics	1996	Josef Leydold	4
+ PDF Chat	Courant-Sharp Eigenvalues for the Equilateral Torus, and for the Equilateral Triangle	2016	Pierre Bérard Bernard Helffer	4
+	An Optimal Partition Problem for Eigenvalues	2006	L. A. Cafferelli Fang Lin	4
+	Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole	2015	Matteo Dalla Riva Paolo Musolino Sergei Rogosin	4
+	Layer Potential Techniques in Spectral Analysis	2009	Habib Ammari Hyeonbae Kang Hyundae Lee	4
+ PDF Chat	Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions	2011	Virginie Bonnaillie‐Noël Bernard Helffer	4
+	The Isoperimetric Problem on Surfaces	1999	Hugh Howards Michael Hutchings Frank Morgan	4
+ PDF Chat	Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses	2015	Pierre Bérard Bernard Helffer	4
+ PDF Chat	Pleijel’s nodal domain theorem for Neumann and Robin eigenfunctions	2019	Corentin Léna	4
+ PDF Chat	Courant-sharp eigenvalues of a two-dimensional torus	2015	Corentin Léna	4
+	Spectral Minimal Partitions for a Family of Tori	2016	Virginie Bonnaillie‐Noël Corentin Léna	4
+	Semilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions	2003	Eduardo Colorado Ireneo Peral	4
+	Remarks on two notions of spectral minimal partitions	2009	Bernard Helffer Thomas Hoffmann-Ostenhof	3
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	3
+	Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles	2016	Laura Abatangelo Veronica Felli Benedetta Noris Manon Nys	3
+ PDF Chat	Nodal Domains in the Square—the Neumann Case	2015	Bernard Helffer Mikael Persson Sundqvist	3
+	On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian	2010	Pier Domenico Lamberti Marco Perin	3
+	Spectral minimal partitions of a sector	2013	Virginie Bonnaillie‐Noël Corentin Léna	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+	THE ISOPERIMETRIC PROBLEM	2001	Antonio R�os	3
+ PDF Chat	The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions	2011	Ram Band Gregory Berkolaiko Hillel Raz Uzy Smilansky	3
+	Die Fredholmsche Alternative f�r Operatoren, die bez�glich eines bilinearen Funktionals adjungiert sind	1967	Wolfgang L. Wendland	3
+	Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole	2011	Massimo Lanza de Cristoforis	3
+ PDF Chat	Nodal Sets for Groundstates of Schrödinger Operators with Zero Magnetic Field in Non Simply Connected Domains	1999	Bernard Helffer M. Hoffmann-Ostenhof Thomas Hoffmann-Ostenhof Mark P. Owen	3
+	Real analytic families of harmonic functions in a domain with a small hole	2012	Matteo Dalla Riva Paolo Musolino	3