Full Professor, Dip. Mat. Univ. Bologna

Email: bruno.franchi AT unibo.it

Available papers (20):

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• 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)

Speaker:

• 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

Organizer:

• 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