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Nodal domain theorems à la Courant.

Ancona, A., Helffer, B., Hoffmann-Ostenhof, T. (2004)

Documenta Mathematica

Nodal domains and spectral minimal partitions

B. Helffer, T. Hoffmann-Ostenhof, S. Terracini (2009)

Annales de l'I.H.P. Analyse non linéaire

Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains.

Giovanni Alessandrini (1994)

Commentarii mathematici Helvetici

Nonlinear eigenvalue problems

Walter Petry (1973)

Commentationes Mathematicae Universitatis Carolinae

Nonlinear Eigenvalue Problems Having Precisely Two Solutions.

Herbert Amann (1976)

Mathematische Zeitschrift

Nonlinear eigenvalues and bifurcation problems for Pucci's operators

Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)

Annales de l'I.H.P. Analyse non linéaire

Note on spectral theory of nonlinear operators: Extensions of some surjectivity theorems of Fučík and Nečas

Filomena Pacella (1984)

Czechoslovak Mathematical Journal

Numerical simulations for nodal domains and spectral minimal partitions

Virginie Bonnaillie-Noël, Bernard Helffer, Gregory Vial (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We recall here some theoretical results of Helffer et al. [Ann. Inst. H. Poincaré Anal. Non Linéaire (2007) doi:10.1016/j.anihpc.2007.07.004] about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.

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