Recent existence and regularity results for wave maps
Rectification : «Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique»
Refined Kato inequalities in riemannian geometry
We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.
Régularité de la solution d'un problème variationnel
Regularity and Finiteness of Solutions to the Free Boundary Problem for Minimal Surfaces.
Regularity and uniqueness of harmonic maps into and ellipsoid.
Regularity at the free boundary of two-dimensional stationary harmonic maps
Regularity for a non linear variational problem in dimension two.
Regularity for Signorini's Problem in linear eleasticity.
Regularity of a Minimal Surface at its Free Boundary.
Regularity of constraints and reduction in the Minkowski space Yang-Mills-Dirac theory
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.
Regularity of minimizing harmonic maps into S4, S5 and symmetric spaces.
Regularity of minimizing harmonic maps into the sphere.
Regularity of Minimzing Harmonic Mappings into ellipsoids and similar other manifolds.
Regularity of p-harmonic maps from the p-dimensional ball into a sphere.
Regularity of p-harmonic maps into certain manifolds with positive sectional curvature.
Regularity of weak H-surfaces.
Regularity of weakly harmonic maps from a surface into a manifold with symmetries.
Regularity properties of optimal transportation problems arising in hedonic pricing models
We study a form of optimal transportation surplus functions which arise in hedonic pricing models. We derive a formula for the Ma–Trudinger–Wang curvature of these functions, yielding necessary and sufficient conditions for them to satisfy (A3w). We use this to give explicit new examples of surplus functions satisfying (A3w), of the form b(x,y) = H(x + y) where H is a convex function on ℝn. We also show that the distribution of equilibrium contracts in this hedonic pricing model is absolutely continuous...