L2-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
La condition de Hörmander-Kohn pour les opérateurs pseudo-différentiels
La conjecture de Kato
La finitude du nombre des lacunes de l'opérateur de Schrödinger bidimensionnel
La première valeur propre du laplacien pour le problème de Dirichlet
La quasi-continuité dans l'étude du problème de Dirichlet. Effilement minimal abstrait et ensembles convexes compacts
Les problèmes de Dirichlet sur la frontière de Martin, sur la frontière de Choquet d’un simplexe métrisable compact, et sur la frontière de Silov d’un simplexe de Bauer métrisable sont tous susceptibles d’une seule méthode de résolution qui utilise un espace de fonctions dites quasi-continues. Cela contient aussi le théorème des limites fines de Fatou-Naïm qui exprime une quasi-continuité jusqu’à la frontière.
Lagrange multipliers for higher order elliptic operators
In this paper, the Babuška’s theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Lagrange multipliers for higher order elliptic operators
In this paper, the Babuška's theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Landesman-Lazer conditions for strongly nonlinear boundary value problems
Landesman–Lazer type conditions and quasilinear elliptic equations
Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition
We deal with the Laplace equation in the half space. The use of a special family of weigted Sobolev spaces as a framework is at the heart of our approach. A complete class of existence, uniqueness and regularity results is obtained for inhomogeneous Dirichlet problem.
Laplace type operators: Dirichlet problem
We investigate Laplace type operators in the Euclidean space. We give a purely algebraic proof of the theorem on existence and uniqueness (in the space of polynomial forms) of the Dirichlet boundary problem for a Laplace type operator and give a method of determining the exact solution to that problem. Moreover, we give a decomposition of the kernel of a Laplace type operator into -irreducible subspaces.
Large norm solutions to nonlinear elliptic problems
Large radial solutions of a polyharmonic equation with superlinear growth.
Large solutions for the laplacian with a power nonlinearity given by a variable exponent
Large solutions, metasolutions, and asymptotic behaviour of the regular positive solutions of sublinear parabolic problems.
Large solutions of quasilinear elliptic system of competitive type: existence and asymptotic behavior.
Large solutions of semilinear elliptic equations with nonlinear gradient terms.
L'asymptotique de Weyl pour les bouteilles magnétiques
L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé