Generalized viscosity solutions of elliptic PDEs and boundary conditions.
Générateurs infinitésimaux et propriétés géométriques pour certaines équations complètement non linéaires.
Nous nous proposons, dans ce travail, d'étudier certaines propriétés géométriques telles que diverses symétries et diverses concavités radiales, directionnelles, etc., pour des équations completement non linéaires (...).
Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential
We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of -Laplacian type. If and the right-hand side is a Radon measure with singularity of order at , then any supersolution in has singularity of order at least at . In the proof we exploit a pointwise estimate of -superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.
Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problemin the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all are eigenvalues.
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problem in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.
Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)
In this paper we describe PDELab, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment (Dune). PDELab considerably simplifies the implementation of discretization schemes for systems of partial differential equations by setting up global functions and operators from a simple element-local description. A general concept for incorporation of constraints eases the implementation of essential boundary conditions, hanging nodes and varying...
Generic properties of nonlinear boundary value problems
Generic properties of von Kármán equations
Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator.
Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in
Geometric properties of solutions to maximization problems.
Geometric properties of solutions to the anisotropic -Laplace equation in dimension two.
Geometric renormalization of large energy wave maps
There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with small energy); a key aspect in that theory has been a renormalization procedure (either a geometric Coulomb gauge, or a microlocal gauge) which converts the nonlinear term into one closer to that of a semilinear wave equation. However, both of these renormalization procedures encounter difficulty if the energy of the...
Géométrie conforme en dimension : ce que l’analyse nous apprend
Cet article présente les idées, les outils et les résultats qui ont permis à Chang S.-Y. A., M. Gursky et Yang P. de donner une caractérisation intégrale conforme de la sphère standard en dimension 4. Nous démarrons avec une généralisation à cette dimension de la formule de Polyakov pour les déterminants régularisés, que nous utilisons ensuite pour résoudre des problèmes du type “Yamabe” pour des polynômes quadratiques en la courbure de Ricci. Nous introduisons au passage le concept de paire conforme,...
Geometry and topology of the boundary in the critical Neumann problem.
Geometry of the energy functional and the Fredholm alternative for the -Laplacian in higher dimensions.
Gewöhnliche Differentialgleichungen für Erzeugende gewisser Bergman-Operatoren.
Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations