Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

The method of fundamental solutions applied to boundary eigenvalue problems

Beniamin Bogosel
Journal of Computational and Applied Mathematics 306 265 (2016)
DOI: 10.1016/j.cam.2016.04.008
See this article

Extremality Conditions and Regularity of Solutions to Optimal Partition Problems Involving Laplacian Eigenvalues

Miguel Ramos, Hugo Tavares and Susanna Terracini
Archive for Rational Mechanics and Analysis 220 (1) 363 (2016)
DOI: 10.1007/s00205-015-0934-2
See this article

Optimal partitions for first eigenvalues of the Laplace operator

Farid Bozorgnia
Numerical Methods for Partial Differential Equations 31 (3) 923 (2015)
DOI: 10.1002/num.21927
See this article

On the Aharonov–Bohm Operators with Varying Poles: The Boundary Behavior of Eigenvalues

Benedetta Noris, Manon Nys and Susanna Terracini
Communications in Mathematical Physics 339 (3) 1101 (2015)
DOI: 10.1007/s00220-015-2423-8
See this article

Lower bound for the number of critical points of minimal spectral k-partitions for k large

Bernard Helffer
Annales mathématiques du Québec 41 (1) 111 (2017)
DOI: 10.1007/s40316-016-0058-6
See this article

Minimal Dirichlet Energy Partitions for Graphs

Braxton Osting, Chris D. White and Édouard Oudet
SIAM Journal on Scientific Computing 36 (4) A1635 (2014)
DOI: 10.1137/130934568
See this article

Spectral minimal partitions of a sector

Corentin Léna and Virginie Bonnaillie-Noël
Discrete and Continuous Dynamical Systems - Series B 19 (1) 27 (2013)
DOI: 10.3934/dcdsb.2014.19.27
See this article

On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole

Laura Abatangelo and Veronica Felli
SIAM Journal on Mathematical Analysis 48 (4) 2843 (2016)
DOI: 10.1137/15M1044898
See this article

Introduction to some conjectures for spectral minimal partitions

B. Helffer
Journal of the Egyptian Mathematical Society 19 (1-2) 45 (2011)
DOI: 10.1016/j.joems.2011.09.003
See this article

Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem

Qiang Du and Jingyan Zhang
Discrete and Continuous Dynamical Systems 29 (4) 1443 (2010)
DOI: 10.3934/dcds.2011.29.1443
See this article

A minimal surface criterion for graph partitioning

Dominique Zosso and Braxton Osting
Inverse Problems and Imaging 10 (4) 1149 (2016)
DOI: 10.3934/ipi.2016036
See this article

On the eigenvalues of Aharonov–Bohm operators with varying poles

Virginie Bonnaillie-Noël, Benedetta Noris, Manon Nys and Susanna Terracini
Analysis & PDE 7 (6) 1365 (2014)
DOI: 10.2140/apde.2014.7.1365
See this article

Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions

V. Bonnaillie-Noël and B. Helffer
Experimental Mathematics 20 (3) 304 (2011)
DOI: 10.1080/10586458.2011.565240
See this article

Laura Abatangelo and Veronica Felli
22 1 (2017)
DOI: 10.1007/978-3-319-64489-9_1
See this article

On the honeycomb conjecture for Robin Laplacian eigenvalues

Dorin Bucur and Ilaria Fragalà
Communications in Contemporary Mathematics 21 (02) 1850007 (2019)
DOI: 10.1142/S0219199718500074
See this article

On Spectral Minimal Partitions: A Survey

B. Helffer
Milan Journal of Mathematics 78 (2) 575 (2010)
DOI: 10.1007/s00032-010-0129-0
See this article

Efficient algorithm for optimizing spectral partitions

Beniamin Bogosel
Applied Mathematics and Computation 333 61 (2018)
DOI: 10.1016/j.amc.2018.03.087
See this article

Optimal partitions for Robin Laplacian eigenvalues

Dorin Bucur, Ilaria Fragalà and Alessandro Giacomini
Calculus of Variations and Partial Differential Equations 57 (5) (2018)
DOI: 10.1007/s00526-018-1393-z
See this article

Bernard Helffer, Thomas Hoffmann-Ostenhof and Susanna Terracini
13 153 (2010)
DOI: 10.1007/978-1-4419-1345-6_6
See this article

Remarks on the boundary set of spectral equipartitions

P. Bérard and B. Helffer
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372 (2007) 20120492 (2014)
DOI: 10.1098/rsta.2012.0492
See this article

Regularity of all minimizers of a class of spectral partition problems

Hugo Tavares and Alessandro Zilio
Mathematics in Engineering 3 (1) 1 (2021)
DOI: 10.3934/mine.2021002
See this article

Consistency of Dirichlet Partitions

Braxton Osting and Todd Harry Reeb
SIAM Journal on Mathematical Analysis 49 (5) 4251 (2017)
DOI: 10.1137/16M1098309
See this article

Sharp boundary behavior of eigenvalues for Aharonov–Bohm operators with varying poles

Laura Abatangelo, Veronica Felli, Benedetta Noris and Manon Nys
Journal of Functional Analysis 273 (7) 2428 (2017)
DOI: 10.1016/j.jfa.2017.06.023
See this article