Perturbations singulières et noyaux de Poisson
Pointwise and locally uniform convergence of holomorphic and harmonic functions
We shall characterize the sets of locally uniform convergence of pointwise convergent sequences. Results obtained for sequences of holomorphic functions by Hartogs and Rosenthal in 1928 will be generalized for many other sheaves of functions. In particular, our Hartogs-Rosenthal type theorem holds for the sheaf of solutions to the second order elliptic PDE's as well as it has applications to the theory of harmonic spaces.
Problèmes elliptiques, surfaces de Riemann et structures symplectiques
Quasi-analyticité et unicité du problème de Cauchy pour les solutions d'équations aux dérivées partielles
Radial solutions of a class of iterated partial differential equations
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
Radially symmetric solutions of the Poisson-Boltzmann equation with a given energy
We consider the following problem: where Φ: Ω ⊂ → ℝ is an unknown function, Θ is an unknown constant and M, E are given parameters.
Recent development in the theory of linear partial differential equations.
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon
Remarks on decay of correlations and Witten laplacians III. Application to logarithmic Sobolev inequalities
Remarks on some fourth order variational inequalities
Résonances de Rayleigh en dimension deux
Retractions onto the Space of Continuous Divergence-free Vector Fields
We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .
Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
We consider a version of the Weyl formula describing the asymptotic behaviour of the counting function of eigenvalues in the semiclassical approximation for self-adjoint elliptic differential operators under weak regularity hypotheses. Our aim is to treat Hölder continuous coefficients and to investigate the case of critical energy values as well.
Sharp Lower Bounds for Solutions on Nonlinear Differential Inequalities.
Solutions of type for a class of singular equations.
Sul problema della goccia appoggiata
Sur le problème de Cauchy pour les opérateurs partiellement multiquasi-elliptiques
Sur les opérations presque inverses
Sur l'unicité du prolongement des systèmes elliptiques dont la valeur initiale s'annule sur un sous-ensemble de mesure positive
Systeme von Differentialgleichungen Erster Ordnung vom Elliptischen Typus mit Analytischen Koeffizienten und Methode der Verallgemeinerten Areolaren Reihen