Foto del docente

Bruno Franchi

Professore emerito

Alma Mater Studiorum - Università di Bologna

Professore a contratto

Dipartimento di Matematica

Pubblicazioni

Baldi A.; Franchi B.; Pansu P., Cohomology of annuli, duality and L^∞-differential forms on Heisenberg groups, «JOURNAL OF FUNCTIONAL ANALYSIS», 2023, 285, Article number: 109944, pp. 1 - 48 [articolo]

Baldi A.; Franchi B.; Pansu P., Poincaré and sobolev inequalities for differential forms in heisenberg groups and contact manifolds, «JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU», 2022, 21, pp. 869 - 920 [articolo]Open Access

Bertsch, Michiel; Franchi, Bruno; Meschini, Valentina; Tesi, Maria Carla; Tosin, Andrea, A sensitivity analysis of a mathematical model for the synergistic interplay of amyloid beta and tau on the dynamics of Alzheimer’s disease, «BRAIN MULTIPHYSICS», 2021, 2, Article number: 100020, pp. 1 - 13 [articolo]Open Access

Bertsch, Michiel; Franchi, Bruno; Raj, Ashish; Tesi, Maria Carla, Macroscopic modelling of Alzheimer’s disease: difficulties and challenges, «BRAIN MULTIPHYSICS», 2021, 2, Article number: 100040, pp. 1 - 9 [articolo]Open Access

Bertsch M.; Franchi B.; Meacci L.; Primicerio M.; Tesi M.C., The amyloid cascade hypothesis and Alzheimer's disease: A mathematical model, «EUROPEAN JOURNAL OF APPLIED MATHEMATICS», 2021, 32, pp. 749 - 768 [articolo]Open Access

Franchi, B; Heida, M; Lorenzani, S, A MATHEMATICAL MODEL FOR ALZHEIMER'S DISEASE: AN APPROACH VIA STOCHASTIC HOMOGENIZATION OF THE SMOLUCHOWSKI EQUATION, «COMMUNICATIONS IN MATHEMATICAL SCIENCES», 2020, 18, pp. 1105 - 1134 [articolo]

Baldi A.; Franchi B.; Pansu P., L1-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups, «ADVANCES IN MATHEMATICS», 2020, 366, Article number: 107084, pp. 1 - 53 [articolo]Open Access

A. Baldi, B. Franchi, P. Pansu, ORLICZ SPACES AND ENDPOINT SOBOLEV-POINCAR ́EINEQUALITIES FOR DIFFERENTIAL FORMS INHEISENBERG GROUPS, «LE MATEMATICHE», 2020, 75, pp. 167 - 194 [articolo]Open Access

Franchi B.; Montefalcone F.; Serra E., Gaffney–Friedrichs inequality for differential forms on Heisenberg groups, «REVISTA MATEMATICA IBEROAMERICANA», 2019, 35, pp. 643 - 692 [articolo]

Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre, L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces, «SCIENCE CHINA. MATHEMATICS», 2019, 62, pp. 1029 - 1040 [articolo]Open Access

Bertsch, Michiel; Franchi, Bruno; Tesi, Maria Carla; Tosin, Andrea, Well-Posedness of a Mathematical Model for Alzheimer's Disease, «SIAM JOURNAL ON MATHEMATICAL ANALYSIS», 2018, 50, pp. 2362 - 2388 [articolo]Open Access

Bertsch, Michiel; Franchi, Bruno; Marcello, Norina; Tesi, MARIA CARLA; Tosin, Andrea, Alzheimer's disease: a mathematical model for onset and progression, «MATHEMATICAL MEDICINE AND BIOLOGY», 2017, 34, pp. 193 - 214 [articolo]Open Access

Cinti, Eleonora; Franchi, Bruno; González, María Del Mar, $\Gamma$-Convergence of variational functionals with boundary terms in Stein manifolds, «CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS», 2017, 56, Article number: 155, pp. 1 - 55 [articolo]Open Access

Bertsch, Michiel; Franchi, Bruno; Tesi, Maria Carla; Tosin, Andrea, Microscopic and macroscopic models for the onset and progression of Alzheimer's disease, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2017, 50, Article number: 414003, pp. 1 - 22 [articolo]Open Access

Chanillo, Sagun; Franchi, Bruno; Sawyer, Eric T., Preface, in: Applied and Numerical Harmonic Analysis, 6330 Cham, Switzerland, Springer International Publishing, 2017, pp. vii - xxi [prefazione]

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