Nodal domain theorems à la Courant.
Nodal domains and spectral minimal partitions
Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains.
Nonlinear eigenvalue problems
Nonlinear Eigenvalue Problems Having Precisely Two Solutions.
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Note on spectral theory of nonlinear operators: Extensions of some surjectivity theorems of Fučík and Nečas
Numerical simulations for nodal domains and spectral minimal partitions
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about minimal partitions and propose numerical computations to check some of their published or unpublished conjectures and exhibit new ones.