Théorème d'indice et régularité pour une classe d'opérateurs elliptiques et dégénérés
Théorème d'indice et régularité pour une classe d'opérateurs elliptiques et dégénérés
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
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 spectrale d'une classe d'opérateurs elliptiques dégénérés non nécessairement auto-adjoint
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators
In this Note we prove a two-weight Sobolev-Poincaré inequality for the function spaces associated with a Grushin type operator. Conditions on the weights are formulated in terms of a strong weight with respect to the metric associated with the operator. Roughly speaking, the strong condition provides relationships between line and solid integrals of the weight. Then, this result is applied in order to prove Harnack's inequality for positive weak solutions of some degenerate elliptic equations....
Über die Invarianz einer konvexen Menge in bezug auf Systeme von gewöhnlichen, parabolischen und elliptischen Differentialgleichungen.
Una classe di soluzioni asintotiche per una equazione ellittica degenere
Una disuguaglianza variazionale associata a un operatore ellittico che può degenerare e con condizioni al contorno di tipo misto
Une caractérisation des opérateurs elliptiques autoadjoints
Une classification de problèmes elliptiques dégénérés à une ou plusieurs variables
Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores.
Uniqueness for radial Ginzburg-Landau type minimizers.
Uniqueness of solutions for some degenerate nonlinear elliptic equations
We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation on Ω in the setting of the space H₀(Ω).
Uniqueness of solutions for some elliptic equations with a quadratic gradient term
We study a comparison principle and uniqueness of positive solutions for the homogeneous Dirichlet boundary value problem associated to quasi-linear elliptic equations with lower order terms. A model example is given by The main feature of these equations consists in having a quadratic gradient term in which singularities are allowed. The arguments employed here also work to deal with equations having lack of ellipticity or some dependence on u in the right hand side. Furthermore, they...
Uniqueness of solutions to degenerate elliptic problems with unbounded coefficients
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Valeurs propres de problèmes aux limites elliptiques irréguliers
Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite