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 et résonances au voisinage d'un seuil
Valutazioni a priori e regolarità per soluzioni di equazioni quasi-ellittiche
Variants on Alexandrov reflection principle and other applications of maximum principle
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 and topological methods for Dirichlet problems with -Laplacian.
Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces.
Variational characterization of interior interfaces in phase transition models on convex plane domains.
Variational inequalities for energy functionals with nonstandard growth conditions.
Variational inequalities for vector-valued functions.
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 .
Variational problems in domains with cusp points
The finite element analysis of linear elliptic problems in two-dimensional domains with cusp points (turning points) is presented. This analysis needs on one side a generalization of results concerning the existence and uniqueness of the solution of a constinuous elliptic variational problem in a domain the boundary of which is Lipschitz continuous and on the other side a presentation of a new finite element interpolation theorem and other new devices.
Variational problems on classes of rearrangements and multiple configurations for steady vortices
Variational problems with pointwise constraints on the derivatives.
Various representations for the system of hyperbolic equations with singular coefficients.
Varying domains in a general class of sublinear elliptic problems.
Vertex centred Discretization of Two-Phase Darcy flows on General Meshes
This paper concerns the discretization of multiphase Darcy flows, in the case of heterogeneous anisotropic porous media and general 3D meshes used in practice to represent reservoir and basin geometries. An unconditionally coercive and symmetric vertex centred approach is introduced in this paper. This scheme extends the Vertex Approximate Gradient scheme (VAG), already introduced for single phase diffusive problems in [9], to multiphase Darcy flows....