Qualche risultato sull'interpolazione per applicazioni non lineari fra spazi di Banach
Qualitative properties of the solutions to the Navier-Stokes equations for compressible fluids
Quasiconformal images of Hölder domains.
Quasiconformal mappings and Sobolev spaces
We examine how Poincaré change under quasiconformal maps between appropriate metric spaces having the same Hausdorff dimension. We also show that for many metric spaces the Sobolev functions can be identified with functions satisfying Poincaré, and this allows us to extend to the metric space setting the fact that quasiconformal maps from onto preserve the Sobolev space .
Quasiconformal mappings with Sobolev boundary values
We consider quasiconformal mappings in the upper half space of , , whose almost everywhere defined trace in has distributional differential in . We give both geometric and analytic characterizations for this possibility, resembling the situation in the classical Hardy space . More generally, we consider certain positive functions defined on , called conformal densities. These densities mimic the averaged derivatives of quasiconformal mappings, and we prove analogous trace theorems for them....
Quelques méthodes d'étude de la propagation d'oscillations hyperboliques non linéaires
Quelques résultats sur les problèmes aux limites en théorie des distributions