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.
Existence and multiplicity of solutions for a fractional -Laplacian problem of Kirchhoff type via Krasnoselskii’s genus
We use the genus theory to prove the existence and multiplicity of solutions for the fractional -Kirchhoff problem where is an open bounded smooth domain of , , with fixed, , is a numerical parameter, and are continuous functions.
Existence and multiplicity of solutions for divergence type elliptic equations.
Existence and regularity of solutions of some elliptic system in domains with edges [Book]
Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane
This paper deals with a mixed boundary-value problem of Ventcel type in two variables. The peculiarity of the Ventcel problem lies in the fact that one of the boundary conditions involves second order differentiation along the boundary. Under suitable assumptions on the data, we first give the definition of a weak solution, and then we prove that the problem is uniquely solvable. We also consider a particular case arising in real-world applications and discuss the resulting model.
Existence and uniqueness of classical solutions to second-order quasilinear elliptic equations.
Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations.