Théorème d'indice pour une classe d'opérateurs elliptiques fortement dégénérés sur la frontière
Théorèmes de régularité locale pour des systèmes elliptiques dégénérés et des problèmes non différentiables
Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical aspects of a multiscale analysis of the eigenoscillations of the Earth.
The elastic behaviour of the Earth, including its eigenoscillations, is usually described by the Cauchy-Navier equation. Using a standard approach in seismology we apply the Helmholtz decomposition theorem to transform the Fourier transformed Cauchy-Navier equation into two non-coupled Helmholtz equations and then derive sequences of fundamental solutions for this pair of equations using the Mie representation. Those solutions are denoted by the Hansen vectors Ln,j, Mn,j, and Nn,j in geophysics....
Theoretical foundation of the weighted Laplace inpainting problem
Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary conditions. Recently a more general formulation has been proposed, where the differential operator consists of a point-wise convex combination of the Laplacian and the known image data. We provide the first detailed analysis on existence and uniqueness of solutions for the arising mixed boundary value problem. Our approach considers...
Théorie de la diffusion pour l'équation de Schrödinger
Théorie de la diffusion pour l'équation de Schrödinger
Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique
Théorie des résonances pour des opérateurs de Schrödinger périodiques
Théorie des résonances pour des opérateurs de Schrödinger périodiques
Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien
Théorie spectrale d'une classe d'opérateurs elliptiques dégénérés non nécessairement auto-adjoint
Thermistor problem: a nonlocal parabolic problem.
Three nodal solutions of singularly perturbed elliptic equations on domains without topology
Three non-trival solutions of anticoercive boundary value problems for the Pseudo-Laplace-operator.
Three solutions for a nonlinear Neumann boundary value problem
The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form in Ω, on ∂Ω. Our technical approach is based on the three critical points theorem due to Ricceri.
Three solutions for quasilinear equations in near resonance.
Three solutions for singular -Laplacian type equations.