G. Savaré, F. Tomarelli:
Superposition and Chain Rule for Bounded Hessian Functions
Advances in Mathematics Vol. 140, p. 237-281, 1998
L. Ambrosio, P. Colli Franzone, G. Savaré:
Gamma-Convergence of a Family of Anisotropic Functionals with Lack of Coercivity
Interfaces and Free Boundaries N. 2, p. 213-266, 2000
R. Rossi, G. Savaré:
Tightness-Concentration Principles and Compactness for Evolution Problems in Banach Spaces
Annali Scuola Normale Superiore - Pisa (Accepted Paper) 2002
L. Ambrosio, N. Gigli, G. Savaré:
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
(Accepted Paper) 2003
R. Rossi, G. Savaré:
Gradient flows of non convex functionals in Hilbert spaces and applications
ESAIM: COCV (Accepted Paper) 2005
U. Gianazza, G. Savaré, G. Toscani:
The Wasserstein gradient flow of the Fisher information and the Quantum Drift-Diffusion equation
Arch. Ration. Mech. Anal. (Accepted Paper) p. 1-68, 2006
L. Ambrosio, S. Lisini, G. Savaré:
Stability of flows associated to gradient vector fields and convergence of iterated transport maps
manuscripta math. Vol. 121, p. 1-50, 2006
L. Ambrosio, G. Savaré, L. Zambotti:
Existence and Stability for Fokker-Planck equations with log-concave reference measures
Probability Theory and Related Fields (Accepted Paper) 2007
S. Daneri, G. Savaré:
Eulerian calculus for the displacement convexity in the Wasserstein distance
SIAM J. Math. Anal. Vol. 40, p. 1104-1122, 2008
A. Mielke, R. Rossi, G. Savaré:
Modeling solutions with jumps for rate-independent systems on metric spaces
Discrete Contin. Dyn. Syst. (Accepted Paper) 2008
A. Mielke, R. Rossi, G. Savaré:
A metric approach to a class of doubly nonlinear evolution equations and applications
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 7, p. 97-169, 2008
J. Dolbeault, B. Nazaret, G. Savaré:
A new class of transport distances
(preprint) 2008
L. Natile, G. Savaré:
A Wasserstein approach to the one-dimensional sticky particle system
(Submitted Paper) 2009
D. Matthes, R. J. McCann, G. Savaré:
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
(Submitted Paper) 2009
J. Dolbeault, B. Nazaret, G. Savaré:
A new class of transport distances between measures
Calc. Var. Partial Differential Equations Vol. 34, p. 193-231, 2009
A. Mielke, R. Rossi, G. Savaré:
BV solutions and viscosity approximations of rate-independent systems
(Submitted Paper) 2009
J. A. Carrillo, S. Lisini, G. Savaré, D. Slepev:
Nonlinear mobility continuity equations and generalized displacement convexity
J. Funct. Anal. Vol. 258, p. 1273-1309, 2010
S. Arnrich, A. Mielke, M. Peletier, G. Savaré, M. Veneroni:
Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction
(Preprint) 2011
A. Mielke, R. Rossi, G. Savaré:
Nonsmooth analysis of doubly nonlinear evolution equations
(Submitted Paper) p. 45, 2011
L. Ambrosio, N. Gigli, G. Savaré:
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
(Submitted Paper) 2011
R. Rossi, G. Savaré:
A characterization of Energetic and BV solutions to one-dimensional rate-independent systems
(Submitted Paper) 2011
L. Ambrosio, N. Gigli, G. Savaré:
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
(Submitted Paper) 2011
L. Ambrosio, N. Gigli, G. Savaré:
Metric measure spaces with Riemannian Ricci curvature bounded from below
(Submitted Paper) 2011
Y. Brenier, W. Gangbo, G. Savaré, M. Westdickenberg:
Sticky particle dynamics with interactions
(preprint) 2012
S. Fornaro, S. Lisini, G. Savaré, G. Toscani:
Measure valued solutions of sub-linear diffusion equations with a drift term
Discrete Contin. Dyn. Syst.-Series A Vol. 32, p. 1675-1707, 2012
S. Lisini, D. Matthes, G. Savaré:
Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
Journal of differential equations Vol. 253, p. 814-850, 2012
L. Ambrosio, N. Gigli, G. Savaré:
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
(Preprint) 2012
A. Mielke, R. Rossi, G. Savaré:
Variational convergence of gradient flows and rate-independent evolutions in metric spaces
Milan J. Math. (Accepted Paper) 2012
L. Ambrosio, N. Gigli, G. Savaré:
Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds
(Submitted Paper) 2012
G. Savaré, G. Toscani:
The concavity of Rčnyi entropy power
(preprint) 2012
A. Mielke, R. Rossi, G. Savaré:
Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems
(Submitted Paper) 2013
V. Agostiniani, R. Rossi, G. Savaré:
On the transversality conditions and their genericity}
(Submitted Paper) 2013
N. Gigli, A. Mondino, G. Savaré:
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
Proceedings of the London Mathematical Society (Accepted Paper) 2013
L. Ambrosio, S. Di Marino, G. Savaré:
On the duality between p-Modulus and probability measures
(Submitted Paper) 2013
G. Savaré:
Self-improvement of the Bakry-Émery condition and Wasserstein
contraction of the heat flow in RCD(K,\infty) metric measure spaces
(preprint) 2013
L. Ambrosio, A. Mondino, G. Savaré:
On the Bakry-Čmery condition, the gradient estimates and the Local-to-Global property of $RCD^*(K,N)$ metric measure spaces
Journal of Geometric Analysis (Accepted Paper) 2014
A. Mielke, R. Rossi, G. Savaré:
Balanced-Viscosity solutions for multi-rate systems
(Submitted Paper) 2014
L. Ambrosio, M. Erbar, G. Savaré:
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces
(Submitted Paper) 2015
L. Ambrosio, A. Mondino, G. Savaré:
Nonlinear diffusion equations and curvature conditions in metric measure spaces
Memoirs Amer. Math. Soc. (Accepted Paper) 2015
M. Liero, A. Mielke, G. Savaré:
Optimal transport in competition with reaction: the
Hellinger-Kantorovich distance and geodesic curves
(preprint) 2015
M. Liero, A. Mielke, G. Savaré:
Optimal Entropy-Transport problems and a new Hellinger-Kantorovich
distance between positive measures
(preprint) 2015
L. Minotti, G. Savaré:
Viscous corrections of the Time Incremental Minimization Scheme and Visco-Energetic Solutions to Rate-Independent Evolution Problems
(Submitted Paper) p. 1-60, 2016
A. Mielke, R. Rossi, G. Savaré:
Global existence results for viscoplasticity at finite strain
(Submitted Paper) 2016
R. Rossi, G. Savaré:
From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems
(Submitted Paper) 2017
F. Fleißner, G. Savaré:
Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 2017
R. Rossi, G. Savaré, A. Segatti, U. Stefanelli:
Weighted Energy-Dissipation principle for gradient flows in metric spaces
(Submitted Paper) 2018
L. Ambrosio, M. Fornasier, M. Morandotti, G. Savaré:
Spatially Inhomogeneous Evolutionary Games
CPAM (Accepted Paper) 2018
G. Savaré:
Sobolev spaces in extended metric-measure spaces
(preprint) 2019
M. A. Peletier, R. Rossi, G. Savaré, O. Tse:
Jump processes as Generalized Gradient Flows
(Submitted Paper) 2020
G. Dal Maso, R. Rossi, G. Savaré, R. Toader:
Visco-energetic solutions for a model of crack growth in brittle materials
(Submitted Paper) 2021
G. Savaré, G. E. Sodini:
A simple relaxation approach to duality for Optimal Transport problems in completely regular spaces
Journal of Convex Analysis Vol. 29, N. 1, p. 1-12, 2022
D. Mazzoleni, G. Savaré:
$L^2$-Gradient Flows of Spectral Functionals
(Preprint) 2022
M. Fornasier, G. Savaré, G. E. Sodini:
Density of subalgebras of Lipschitz functions in metric Sobolev spaces
and applications to Wasserstein Sobolev spaces
(Preprint) 2022
G. Cavagnari, G. Savaré, G. E. Sodini:
Dissipative probability vector fields and generation of evolution
semigroups in Wasserstein spaces
Probability Theory and Related Fields 2022