Preprints, accepted papers, published papers, books, contributions to volumes or proceedings, edited books.


  1. Florentin Fleissner, Giuseppe Savaré
    Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi
    ArXiv e-prints 1711.07256 (2017) 1-30

Accepted papers

  1. Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré
    Nonlinear diffusion equations and curvature conditions in metric measure spaces
    Memoirs of the A.M.S., in press ()
  2. Matthias Liero, Alexander Mielke, Giuseppe Savaré
    Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures
    Inventiones Mathematicae ()

Published papers

  1. Luca Minotti, Giuseppe Savaré
    Viscous corrections of the Time Incremental Minimization Scheme and Visco-Energetic Solutions to Rate-Independent Evolution Problems.
    Arch. Ration. Mech. Anal. 227 (2018) 477--543
    doi:10.1007/s00205-017-1165-5 (View-only version)
  2. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
    Global existence results for viscoplasticity at finite strain.
    Arch. Ration. Mech. Anal. 227 (2018) 477--543
    doi:10.1007/s00205-017-1165-5 (View-only version)
  3. Ambrosio Luigi, Mondino Andrea, Savaré Giuseppe
    On the Bakry-Émery condition, the gradient estimates and the local-to-global property of RCD^*(K,N) metric measure spaces.
    J. Geom. Anal. 26 (2016) 24--56
  4. Ambrosio Luigi, Erbar Matthias, Savaré Giuseppe
    Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces.
    Nonlinear Anal. 137 (2016) 77--134
  5. Liero Matthias, Mielke Alexander, Savaré Giuseppe
    Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves.
    SIAM J. Math. Anal. 48 (2016) 2869--2911
  6. Mielke Alexander, Rossi Riccarda, Savaré Giuseppe
    Balanced-viscosity solutions for multi-rate systems.
    J. Phys. Conf. Ser. 727 (2016) 012010, 26
  7. Mielke Alexander, Rossi Riccarda, Savaré Giuseppe
    Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems.
    J. Eur. Math. Soc. (JEMS) 18 (2016) 2107--2165
  8. Luigi Ambrosio, Simone Di Marino, Giuseppe Savaré
    On the duality between p-modulus and probability measures.
    J. Eur. Math. Soc. (JEMS) 17 (2015) 1817--1853
  9. Ambrosio Luigi, Gigli Nicola, Savaré Giuseppe
    Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds.
    Ann. Probab. 43 (2015) 339--404
  10. Agostiniani Virginia, Rossi Riccarda, Savaré Giuseppe
    On the transversality conditions and their genericity.
    Rend. Circ. Mat. Palermo (2) 64 (2015) 101--116
  11. Gigli Nicola, Mondino Andrea, Savaré Giuseppe
    Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows.
    Proc. Lond. Math. Soc. (3) 111 (2015) 1071--1129
  12. Ambrosio Luigi, Gigli Nicola, Savaré Giuseppe
    Metric measure spaces with Riemannian Ricci curvature bounded from below.
    Duke Math. J. 163 (2014) 1405--1490
  13. Savaré Giuseppe, Toscani Giuseppe
    The concavity of Rényi entropy power.
    IEEE Trans. Inform. Theory 60 (2014) 2687--2693
  14. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below.
    Invent. Math. 195 (2014) 289--391
    doi:10.1007/s00222-013-0456-1 (View-only version)
  15. Giuseppe Savaré
    Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,\infty) metric measure spaces.
    Disc. Cont. Dyn. Sist. A 34 (2014) 1641-1661
  16. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
    Nonsmooth analysis of doubly nonlinear evolution equations.
    Calc. Var. Partial Differential Equations 46 (2013) 253-310
    doi:10.1007/s00526-011-0482-z (View-only version)
  17. Brenier Y., Gangbo W., Savaré G., Westdickenberg M.
    Sticky particle dynamics with interactions.
    J. Math. Pures Appl. (9) 99 (2013) 577--617
  18. Riccarda Rossi, Giuseppe Savaré
    A characterization of Energetic and BV solutions to one-dimensional rate-independent systems.
    Discrete Contin. Dyn. Syst. (S) 6 (2013) 167-191
  19. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces.
    Rev. Mat. Iberoamericana 29 (2013) 969-986`
  20. Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
    Chemical Reactions as \Gamma-Limit of Diffusion.
    SIAM Review 54 (2012) 327--352
  21. Mielke Alexander, Rossi Riccarda, Savaré Giuseppe
    Variational convergence of gradient flows and rate-independent evolutions in metric spaces.
    Milan J. Math. 80 (2012) 381--410
    doi:10.1007/s00032-012-0190-y (View-only version)
  22. Simona Fornaro, Stefano Lisini, Giuseppe Savaré, Giuseppe Toscani
    Measure valued solutions of sub-linear diffusion equations with a drift term.
    Discrete Contin. Dyn. Syst. (A) 32 (2012) 1675 - 1707
  23. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
    BV solutions and viscosity approximations of rate-independent systems.
    ESAIM: Control, Optimisation and Calculus of Variations 8 (2012) 36-80
  24. Stefano Lisini, Daniel Matthes, Giuseppe Savaré
    Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics.
    J. Differential Equations 253 (2012) 814-850
  25. Dolbeault Jean, Nazaret Bruno, Savaré Giuseppe
    From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach.
    SIAM J. Math. Anal. 44 (2012) 3186--3216
  26. Steffen Arnrich, Alexander Mielke, Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
    Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction.
    Calc. Var. Partial Differential Equations 44 (2012) 419--454
    doi:10.1007/s00526-011-0440-9 (View-only version)
  27. Rossi Riccarda, Savaré Giuseppe, Segatti Antonio, Stefanelli Ulisse
    A variational principle for gradient flows in metric spaces.
    C. R. Math. Acad. Sci. Paris 349 (2011) 1225--1228
  28. Luca Natile, Mark A. Peletier, Giuseppe Savaré
    Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts.
    Journal de Mathématiques Pures et Appliqués 95 (2011) 18--35
  29. Mark A. Peletier, Giuseppe Savaré, Marco Veneroni
    From diffusion to reaction via \Gamma-convergence.
    SIAM J. Math. Anal. 42 (2010) 1805--1825
  30. Josè A. Carrillo, Stefano Lisini, Giuseppe Savaré, Dejan Slepcev
    Nonlinear mobility continuity equations and generalized displacement convexity.
    J. Funct. Anal. 258 (2010) 1273--1309
  31. Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
    Modeling solutions with jumps for rate-independent systems on metric spaces.
    Discrete Contin. Dyn. Syst. 25 (2009) 585--615
  32. Luigi Ambrosio, Giuseppe Savaré, Lorenzo Zambotti
    Existence and stability for Fokker-Planck equations with log-concave reference measure.
    Probab. Theory Related Fields 145 (2009) 517--564
    doi:10.1007/s00440-008-0177-3 (View-only version)
  33. Ugo Gianazza, Giuseppe Savaré, Giuseppe Toscani
    The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation.
    Arch. Ration. Mech. Anal. 194 (2009) 133--220
    doi:10.1007/s00205-008-0186-5 (View-only version)
  34. Luca Natile, Giuseppe Savaré
    A Wasserstein approach to the one-dimensional sticky particle system.
    SIAM J. Math. Anal. 41 (2009) 1340-1365
  35. Daniel Matthes, Robert J. McCann, Giuseppe Savaré
    A family of nonlinear fourth order equations of gradient flow type.
    Comm. Partial Differential Equations 34 (2009) 1352--1397
  36. Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
    A new class of transport distances between measures.
    Calc. Var. Partial Differential Equations 34 (2009) 193--231
    doi:10.1007/s00526-008-0182-5 (View-only version)
  37. Sara Daneri, Giuseppe Savaré
    Eulerian calculus for the displacement convexity in the Wasserstein distance.
    SIAM J. Math. Anal. 40 (2008) 1104--1122
  38. Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
    On the Bakry-Emery criterion for linear diffusions and weighted porous media equations.
    Commun. Math. Sci. 6 (2008) 477-494
  39. Riccarda Rossi, Alexander Mielke, Giuseppe Savaré
    A metric approach to a class of doubly nonlinear evolution equations and applications.
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008) 97--169
  40. Giuseppe Savaré
    Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds.
    C. R. Math. Acad. Sci. Paris 345 (2007) 151--154
  41. Ricardo H. Nochetto, Giuseppe Savaré
    Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications.
    Math. Models Methods Appl. Sci. 16 (2006) 439--477
  42. Riccarda Rossi, Giuseppe Savaré
    Gradient flows of non convex functionals in Hilbert spaces and applications.
    ESAIM Control Optim. Calc. Var. 12 (2006) 564--614 (electronic)
  43. Luigi Ambrosio, Stefano Lisini, Giuseppe Savaré
    Stability of flows associated to gradient vector fields and convergence of iterated transport maps.
    Manuscripta Math. 121 (2006) 1--50
    doi:10.1007/s00229-006-0003-0 (View-only version)
  44. Micol Pennacchio, Giuseppe Savaré, Piero Colli Franzone
    Multiscale modeling for the bioelectric activity of the heart.
    SIAM J. Math. Anal. 37 (2006) 1333--1370 (electronic)
  45. Riccarda Rossi, Giuseppe Savaré
    Existence and approximation results for gradient flows.
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 15 (2004) 183--196
  46. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Gradient flows with metric and differentiable structures, and applications to the Wasserstein space.
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 15 (2004) 327--343
  47. Riccarda Rossi, Giuseppe Savaré
    Tightness, Integral Equicontinuity and Compactness for Evolution Problems in Banach Spaces.
    Ann. Sc. Norm. Sup., Pisa 2 (2003) 395-431
  48. Giuseppe Savaré, Giulio Schimperna
    Domain perturbations and estimates for the solutions of second order elliptic equations.
    J. Math. Pures Appl. (9) 81 (2002) 1071--1112
  49. Giuseppe Savaré
    Compactness properties for families of quasistationary solutions of some evolution equations.
    Trans. Amer. Math. Soc. 354 (2002) 3703--3722
  50. Piero Colli Franzone, Giuseppe Savaré
    Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level.
    50 (2002) 49-78
  51. Marco Luigi Bernardi, Gianni Arrigo Pozzi, Giuseppe Savaré
    Variational equations of Schroedinger-type in non-cylindrical domains.
    J. Differential Equations 171 (2001) 63--87
  52. Luigi Ambrosio, Piero Colli Franzone, Giuseppe Savaré
    On the asymptotic behaviour of anisotropic energies arising in the Cardiac Bidomain model.
    Interfaces Free Bound. 2 (2000) 213-266
  53. Nochetto Ricardo H., Savaré Giuseppe, Verdi Claudio
    A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations.
    Comm. Pure Appl. Math. 53 (2000) 525--589
  54. Giuseppe Savaré
    Regularity Results for Elliptic Equations in Lipschitz Domains.
    Journal of Functional Analysis 152 (1998) 176-201
  55. Giuseppe Savaré, Franco Tomarelli
    Superposition and chain rule for Bounded Hessian functions.
    Advances in Mathematics 140 (1998) 237-281
  56. Ricardo H.Nochetto, Giuseppe Savaré, Claudio Verdi
    Error Control of Nonlinear evolution Equations.
    C.R.Acad.Sci.Paris 326, Série I (1998) 1437-1442
  57. Giuseppe Savaré, Augusto Visintin
    Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase.
    Rend.Mat.Acc.Lincei s.9, v.8 (1997) 49-89
  58. Giuseppe Savaré
    Parabolic problems with mixed variable lateral conditions: an abstract approach.
    J.Math.Pures Appl. 76 (1997) 321-351
  59. Giuseppe Savaré
    Regularity and perturbation results for mixed second order elliptic problems.
    Communications in P.D.E. 22 (1997) 869-899
  60. Pierluigi Colli, Giuseppe Savaré
    Time discretization of Stefan problems with singular heat flux.
    363 (1996) 16-28
  61. Pierluigi Colli, Giuseppe Savaré
    Time discretization of Stefan problems with singular heat flux.
    Quaderni del Dip. di Mat. dell'Università di Torino 1 (1996) 1-12
  62. Ugo Gianazza, Giuseppe Savaré
    Abstract evolution equations on variable domains: an approach by Minimizing Movements.
    Annali della Scuola Normale Superiore di Pisa XXIII (1996) 149-178
  63. Giuseppe Savaré
    On the regularity of the positive part of functions.
    Nonlinear Analysis, T.M.A. 27 (1996) 1055-1074
  64. Giuseppe Savaré
    Weak solutions and maximal regularity for abstract evolution inequalities.
    Advances in Mathematical Sciences and Applications 6 (1996) 377-418
  65. Pierluigi Colli, Giuseppe Savaré
    On a class of implicit evolution variational inequalities.
    Differential Integral Equations 8 (1995) 2097-2124
  66. Ugo Gianazza, Giuseppe Savaré
    Some results on Minimizing Movements.
    Rend.Acc.Naz.Sc.dei XL, Mem.Mat 112 (1994) 57-80
  67. Claudio Baiocchi, Giuseppe Savaré
    Singular perturbation and interpolation.
    Mathematical Models and Methods in Applied Sciences 4 (1994) 557-570
  68. Giuseppe Savaré
    Some Remarks on Cauchy Problem for Parabolic equations with Dirichlet boundary condition.
    Rend.Ist.Lombardo, Sc.A 128 (1994) 71-91
  69. Giuseppe Savaré, Vincenzo Vespri
    The asymptotic profile of solutions of a class of doubly nonlinear equations.
    Nonlinear Analysis, T.M.A. 22 (1994) 1553-1565
  70. Ugo Gianazza, Massimo Gobbino, Giuseppe Savaré
    Evolution problems and Minimizing Movements.
    Rend.Mat.Acc.Lincei IX 5 (1994) 289-296
  71. Giuseppe Savaré
    A(\Theta)-stable approximations of abstract Cauchy problems.
    Numer. Math. 65 (1993) 319-335
    doi:10.1007/BF01385755 (View-only version)
  72. Giuseppe Savaré
    Approximation and regularity of evolution variational inequalities.
    Rend.Acc.Naz.Sc.dei XL, Mem.Mat. 111 (1993) 83-111
  73. Giuseppe Savaré
    Discretizzazioni A(\Theta)-stabili di equazioni differenziali astratte.
    Calcolo 28 (1991) 205-248


  1. Ambrosio Luigi, Gigli Nicola, Savaré Giuseppe
    Gradient flows in metric spaces and in the space of probability measures
    Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2008) x+334

Contributions to volumes or proceedings

  1. Riccarda Rossi, Giuseppe Savaré
    From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems
    in Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs, P. Colli A. Favini E. Rocca G. Schimperna J. Sprekels (ed.)
    Vol. 22, "Springer INdAM Series", (2017) 489-531
  2. Daneri Sara, Savaré Giuseppe
    Lecture notes on gradient flows and optimal transport
    in Optimal transportation, Y. Ollivier, H. Pajot, C. Villani (ed.)
    Vol. 413, "London Math. Soc. Lecture Note Ser.", Cambridge Univ. Press, Cambridge (2014) 100--144
  3. Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
    Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
    in Analysis and Numerics of Partial Differential Equations, Brezzi F., Colli Franzone P., Gianazza U.P., Gilardi G. (ed.)
    Vol. 4, "INDAM", Springer (2013) 63-116
  4. Luigi Ambrosio, Giuseppe Savaré
    Gradient Flows of Probability Measures
    in Handbook of Evolution Equations, Dafermos C., Feireisl E. (ed.)
    Vol. 3, Elsevier (2006) 1-136
  5. Piero Colli Franzone, Luca F. Pavarino, Giuseppe Savaré
    Computational Electrocardiology: mathematical and numerical modeling.
    in Complex Systems in Biomedicine, A. Quarteroni et al. (ed.)
    Springer-Verlag (2006) 187--241
  6. Giuseppe Savaré
    Error Estimates for Dissipative Evolution Problems
    in Free Bounday Problems, P.~Colli C.~Verdi A.~Visintin (ed.);
    Vol. 147, "International Series of Numerical Mathematics", Birkhäuser (2003) 281-291

Edited books

  1. Bianchini Stefano, Carlen Eric A., Mielke Alexander, Villani Cédric
    Nonlinear PDE's and applications
    Notes of the C.I.M.E. Summer School held in Cetraro, June 23--28, 2008; Luigi Ambrosio, Giuseppe Savaré (ed.)
    Lecture Notes in Mathematics, Centro Internazionale Matematico Estivo (C.I.M.E.) Summer Schools, Springer, Heidelberg (2011) xiv+224