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Andrea Mondino
Andrea Mondino
University of Oxford-Mathematical Institute
Verified email at maths.ox.ac.uk - Homepage
Title
Cited by
Cited by
Year
Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
L Ambrosio, N Gigli, A Mondino, T Rajala
Transactions of the American Mathematical Society 367 (7), 4661-4701, 2015
2402015
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
N Gigli, A Mondino, G Savaré
Proceedings of the London Mathematical Society 111 (5), 1071-1129, 2015
2252015
Structure theory of metric measure spaces with lower Ricci curvature bounds
A Mondino, A Naber
Journal of the European Mathematical Society 21 (6), 1809-1854, 2019
1992019
Nonlinear diffusion equations and curvature conditions in metric measure spaces
L Ambrosio, A Mondino, G Savaré
American mathematical society 262 (1270), 2019
1932019
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
F Cavalletti, A Mondino
Inventiones mathematicae 208, 803-849, 2017
1682017
On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of Metric Measure Spaces
L Ambrosio, A Mondino, G Savaré
The Journal of Geometric Analysis 26, 24-56, 2016
1332016
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
F Cavalletti, A Mondino
Geometry & Topology 21 (1), 603-645, 2017
942017
On the volume measure of non-smooth spaces with Ricci curvature bounded below
M Kell, A Mondino
arXiv preprint arXiv:1607.02036, 2016
812016
Optimal maps in essentially non-branching spaces
F Cavalletti, A Mondino
Communications in Contemporary Mathematics 19 (06), 1750007, 2017
662017
Li–Yau and Harnack type inequalities in RCD∗(K, N) metric measure spaces
N Garofalo, A Mondino
Nonlinear Analysis: Theory, Methods & Applications 95, 721-734, 2014
642014
Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
N Gigli, A Mondino, T Rajala
Journal für die reine und angewandte Mathematik (Crelles Journal) 2015 (705 …, 2015
592015
New formulas for the Laplacian of distance functions and applications
F Cavalletti, A Mondino
Analysis & PDE 13 (7), 2091-2147, 2020
582020
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
F Cavalletti, A Mondino
arXiv preprint arXiv:2004.08934, 2020
572020
Willmore spheres in compact Riemannian manifolds
A Mondino, T Riviere
Advances in Mathematics 232 (1), 608-676, 2013
572013
On the topology and the boundary of N–dimensional RCD (K, N) spaces
V Kapovitch, A Mondino
Geometry & Topology 25 (1), 445-495, 2021
472021
Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint
LGA Keller, A Mondino, T Rivière
Archive for Rational Mechanics and Analysis 212 (2), 645-682, 2014
462014
On quotients of spaces with Ricci curvature bounded below
F Galaz-Garcia, M Kell, A Mondino, G Sosa
Journal of Functional Analysis 275 (6), 1368-1446, 2018
412018
An optimal transport formulation of the Einstein equations of general relativity
A Mondino, S Suhr
Journal of the European Mathematical Society 25 (3), 933-994, 2022
402022
Some results about the existence of critical points for the Willmore functional
A Mondino
Mathematische Zeitschrift 266 (3), 583-622, 2010
382010
A PDE approach to nonlinear potential theory in metric measure spaces
N Gigli, A Mondino
Journal de Mathématiques Pures et Appliquées 100 (4), 505-534, 2013
352013
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