Essai sur la théorie générale de l'itération et sur la classification des transcendantes
Estimate of the pressure when its gradient is the divergence of a measure. Applications
In this paper, a estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on , or on a regular bounded open set of . The proof is based partially on the Strauss inequality [Strauss,Partial Differential Equations: Proc. Symp. Pure Math. 23 (1973) 207–214] in dimension two, and on a recent result of Bourgain and Brezis [J. Eur. Math. Soc. 9 (2007) 277–315] in higher dimension. The estimate is used to derive a representation result for divergence free distributions...
Estimate of the pressure when its gradient is the divergence of a measure. Applications
In this paper, a estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on , or on a regular bounded open set of . The proof is based partially on the Strauss inequality [Strauss, Partial Differential Equations: Proc. Symp. Pure Math.23 (1973) 207–214] in dimension two, and on a recent result of Bourgain and Brezis [J. Eur. Math. Soc.9 (2007) 277–315] in higher dimension. The estimate is used to derive a representation result for divergence free distributions...
Estimates for derivatives of the Green functions on homogeneous manifolds of negative curvature.
Estimates for the Green function and existence of positive solutions for higher-order elliptic equations.
Estimates for the Green function and singular solutions for polyharmonic nonlinear equation.
Estimates for the parametrix of the Kohn Laplacian on certain domains.
Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms.
Estimation d'opérateurs intégraux du type de Cauchy dans les échelles d'Ovsjannikov et application
On établit des estimations de l’intégrale singulière de Cauchy et des opérateurs du potentiel dans des échelles d’Ovjannikov de fonctions analytiques. Ces estimations sont utilisées pour obtenir des résultats d’existence locale en temps de solutions analytiques pour certains problèmes à frontière libre dans le plan.
Estimations de l'effet tunnel pour le double-puits
États liés de potentiels bisphériques et toroïdaux
Étude interne des systèmes linéaires d'équations aux dérivées partielles
Étude microlocale de la diffraction par un coin
Evolution Problems and Minimizing Movements
We recall the definition of Minimizing Movements, suggested by E. De Giorgi, and we consider some applications to evolution problems. With regards to ordinary differential equations, we prove in particular a generalization of maximal slope curves theory to arbitrary metric spaces. On the other hand we present a unifying framework in which some recent conjectures about partial differential equations can be treated and solved. At the end we consider some open problems.
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.
Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method.
Existence and comparison results for quasilinear evolution hemivariational inequalities.
Existence and construction of Vessiot connections.
Existence and estimates of Green's function for degenerate elliptic equations
Existence and localization results for -Laplacian via topological methods.