[franchib]

Full Professor, Dip. Mat. Univ. Bologna

**Email:** *bruno.franchi AT unibo.it*

- A. Baldi - B. Franchi - P. Pansu (Submitted Paper)

{$L^1$-{P}oincar\'e inequalities for differential forms on {E}uclidean spaces and {H}eisenberg groups} (2019) - E. Cinti - B. Franchi - M. M. González (Accepted Paper:
*Calc. Var. and PDE*)

$\Gamma$-convergence of variational functionals with boundary terms in Stein manifolds (2016) - A. Baldi - B. Franchi - F. Tripaldi (
*Geometric Methods in PDE’s. Springer INdAM Series*)

Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group (2015) - A. Baldi - B. Franchi - P. Pansu (Submitted Paper)

Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups (2015) - B. Franchi - S. Lorenzani (Submitted Paper)

From a microscopic to a macroscopic model for Alzheimer disease: Two-scale homogenization of the Smoluchowski equation in perforated domains (2015) - A. Baldi - B. Franchi (Submitted Paper)

Sharp a priori estimates for div-curl systems in Heisenberg groups (2013) - B. Franchi - M. Marchi - R. Serapioni (Preprint)

Intrinsic Lipschitz Graphs Within Carnot Groups (2013) - B. Franchi - E. Obrecht - E. Vecchi (Preprint)

On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups (2013) - A. Baldi - B. Franchi (Submitted Paper)

Maxwell's equations in anisotropic media and Maxwell's equations in Carnot groups as variational limits (2011) - B. Franchi - M. C. Tesi (Submitted Paper)

Wave and Maxwell's equations in Carnot groups (2010) - F. Ferrari - B. Franchi - I. Verbitsky (Accepted Paper:
*J. Reine Angew. Math.*)

Hessian inequalities and the fractional Laplacian (2010) - A. Baldi - B. Franchi (Submitted Paper:
*Calc. Var. Partial Differential Equations*)

Differential forms in Carnot groups: a Gamma-convergence approach (2010) - B. Franchi - R. Serapioni - F. Serra Cassano (Submitted Paper)

Differentiability of intrinsic Lipschitz functions within Heisenberg groups (2008) - B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper:
*J. Nonlinear and Convex Analysis*)

Intrinsic Lipshitz graphs in Heisenebrg groups (2006) - B. Franchi - R. Serapioni - F. Serra Cassano (
*Lectures Notes of Seminario Interdisciplinare di Matematica*)

Intrinsic submanifolds, graphs and currents in Heisenberg groups (2005) - B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper:
*Advances in Mathematics*)

Regular submanifolds, graphs and area formula in Heisenberg groups (2004) - B. Franchi - R. Serapioni - F. Serra Cassano (
*J.Geom.Anal.*)

On the structure of finite perimeter sets in step 2 Carnot groups (2003) - B. Franchi - R. Serapioni - F. Serra Cassano (
*Mathematica Bohemica*)

Rectifiability and perimeter in step 2 groups (2002) - B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper:
*Comm. Analysis and Geometry*)

Regular hypersurfaces, Intrinsic perimeter and implicit function theorem in Carnot groups (2002) - B. Franchi - R. Serapioni - F. Serra Cassano (
*Math.Ann.*)

Rectifiability and Perimeter in the Heisenberg Group (2001)

*24 jun 2024 - 28 jun 2024:*First Johns Hopkins University - University of Bologna Conference "Noncommutativity at the Interface of Topology, Geometry and Analysis"*13 jun 2022 - 15 jun 2022:*Nonlinear PDEs and Applications - on the occasion of Michiel Bertsch's 65(+2)th birthday*10 feb 2020 - 12 feb 2020:*Dispersive and subelliptic PDEs*16 apr 2019 - 17 apr 2019:*Some topics of Geometric Analysis and Geometric Measure Theory*12 feb 2018 - 16 feb 2018:*Variational Methods in Analysis, Geometry and Physics*20 jun 2016 - 23 jun 2016:*Singular Phenomena and Singular Geometries*9 jun 2016 - 10 jun 2016:*Two-day Meeting on linear and nonlinear PDE's in honor of the 65th birthday of Cristian Gutierrez*27 may 2013 - 31 may 2013:*Geometric methods in PDE’s: Indam Meeting in occasion of the 70th birthday of Ermanno Lanconelli*12 nov 2012 - 16 nov 2012:*New trends in Nonlinear Parabolic Equations*10 oct 2011 - 14 oct 2011:*ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

*27 jun 2022 - 29 jun 2022:*12th School on Analysis and Geometry in Metric*24 jun 2019 - 28 jun 2019:*11th School on Analysis and Geometry in Metric Spaces*12 feb 2018 - 16 feb 2018:*Variational Methods in Analysis, Geometry and Physics*24 jan 2018 - 27 jan 2018:*Sub-Riemannian Geometry Harmonic Analysis, PDE and Applications*9 jun 2016 - 10 jun 2016:*Two-day Meeting on linear and nonlinear PDE's in honor of the 65th birthday of Cristian Gutierrez*6 jul 2015 - 10 jul 2015:*Nineth School on Analysis and Geometry in Metric Spaces*16 jun 2014 - 20 jun 2014:*Eighth School on Analysis and Geometry in Metric Spaces