GEMETHNES erc

Papers

2012

Mondino Andrea - Schygulla Johannes
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds (2012)

Mongodi Samuele
Some applications of metric currents to complex analysis (2012)

Rajala Tapio
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces (2012)

2011

Ambrosio Luigi
An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below (2011)

Ambrosio Luigi - Colombo Maria - De Philippis Guido - Figalli Alessio
Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2011)

Ambrosio Luigi - Crasta Graziano - De Cicco Virginia - De Philippis Guido
A nonautonomous chain rule in $W^{1,1}$ and in $BV$ (2011)

Ambrosio Luigi - Da Prato Giuseppe - Goldys Ben - Pallara Diego
Bounded variation with respect to a log-concave measure (2011)

Ambrosio Luigi - De Philippis Guido - Kirchheim Bernd
Regularity of optimal transport maps and partial differential inclusions (2011)

Ambrosio Luigi - De Philippis Guido - Martinazzi Luca (Manuscripta Math.)
Gamma-convergence of nonlocal perimeter functionals (2011)

Ambrosio Luigi - Figalli Alessio - Friesecke Gero - Giannoulis Johannes - Paul Thierry
Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data (2011)

Ambrosio Luigi - Ghiraldin Francesco
Flat chains with finite size in metric spaces (2011)

Ambrosio Luigi - Gigli Nicola - Savaré Giuseppe
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011)

Ambrosio Luigi - Gigli Nicola - Savaré Giuseppe
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011)

Ambrosio Luigi - Gigli Nicola - Savaré Giuseppe
Metric measure spaces with Riemannian Ricci curvature bounded from below (2011)

Ambrosio Luigi - Rajala Tapio
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces (2011)

De Philippis Guido - Figalli Alessio
$W^{2,1}$ regularity for solutions of the Monge-Ampère equation (2011)

Magnani Valentino (Colloq. Math.)
An area formula in metric spaces (2011)

Rajala Tapio
Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm (2011)

Rajala Tapio
Local Poincaré inequalities from stable curvature conditions on metric spaces (2011)

2010

Ambrosio Luigi - Figalli Alessio
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces (2010)

Korte Riikka - Magnani Valentino
Measure of curves in graded groups (2010)

Magnani Valentino - Scienza Matteo
Characterizations of differentiability for h-convex functions in stratified groups (2010)