Vacuum energy as spectral geometry.
Valeurs propres de problèmes aux limites elliptiques irréguliers
Valeurs propres de systèmes elliptiques définis sur des sous espaces
Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite
Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite
Valeurs propres et résonances au voisinage d'un seuil
Variation de la phase de diffusion et distribution des résonances
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpiński gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpiński fractal. The abstract results are illustrated by explicit examples.
Variational approximation methods for eigenvalues. Convergence theorems
Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations
Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
Variational methods and linearization tools towards the spectral analysis of the -Laplacian, especially for the Fredholm alternative.
Variational methods for a resonant problem with the -Laplacian in .