3 citations · 7 across the 4 of their papers we have counts for
5 papers
A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation
Bruno Franchi, Martin Heida, Silvia Lorenzani
In this note, we apply the theory of stochastic homogenization to find the asymptotic behavior of the solution of a set of Smoluchowski's coagulation-diffusion equations with non-h…
-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In this paper, we prove Poincaré and Sobolev inequalities for differential forms in . The singular integral estimates that it is possible to use for , ,…
-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In this paper, we prove interior Poincar{é} and Sobolev inequalities in Euclidean spaces and in Heisenberg groups, in the limiting case where the exterior (resp. Rumin) differentia…
Poincar{é} and Sobolev inequalities for differential forms in Heisenberg groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
Poincar{é} and Sobolev inequalities for differential forms on Heisenberg balls, involving Rumin's differentials, are given. Furthermore, a global homotopy of Rumin's complex which…
Gagliardo-Nirenberg Inequalities for Differential Forms in Heisenberg Groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
The L 1-Sobolev inequality states that the L n/(n--1)-norm of a compactly supported function on Euclidean n-space is controlled by the L 1-norm of its gradient. The generalization…