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Author
Luigi Ambrosio
also known as AMBROSIO, Luigi, Ambrosio L., Ambrosio Luigi
Institute of Mathematics and Computer Science · University of Pisa · Hiroshima University · University of Rome Tor Vergata
About this author
Works
326
Cited by
21,637
h-index
63
i10
154
ORCID ↗
Top papers
Functions of Bounded Variation and Free Discontinuity Problems
Luigi Ambrosio, Nicola Fusco, Diego Pallara
·
2000
↗ 4,395
Gradient Flows: In Metric Spaces and in the Space of Probability Measures
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
·
2005
↗ 2,404
Approximation of functional depending on jumps by elliptic functional via t‐convergence
Luigi Ambrosio, Vincenzo Maria Tortorelli
·
1990
·
Communications on Pure and Applied Mathematics
↗ 1,415
Transport equation and Cauchy problem for BV vector fields
Luigi Ambrosio
·
2004
·
Inventiones mathematicae
↗ 629
Metric measure spaces with Riemannian Ricci curvature bounded from below
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
·
2014
·
Duke Mathematical Journal
↗ 559
OA
ON THE APPROXIMATION OF FREE DISCONTINUITY PROBLEMS
Luigi Ambrosio, Vincenzo Maria Tortorelli
·
1992
↗ 449
Currents in metric spaces
Luigi Ambrosio, Bernd Kirchheim
·
2000
·
Acta Mathematica
↗ 382
OA
A User’s Guide to Optimal Transport
Luigi Ambrosio, Nicola Gigli
·
2012
·
Lecture notes in mathematics
↗ 364
Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
Luigi Ambrosio, Xavier Cabré
·
2000
·
Journal of the American Mathematical Society
↗ 352
OA
Topics on Analysis in Metric Spaces
Luigi Ambrosio, Paolo Tilli
·
2003
↗ 340
Lecture Notes on Optimal Transport Problems
Luigi Ambrosio
·
2003
·
Lecture notes in mathematics
↗ 332
OA
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
·
2014
·
The Annals of Probability
↗ 264
OA
Books
Gradient flows
2004
·
Birkhauser
Biomedical Composites
2009
·
Elsevier Science & Technology
Introduction to Measure Theory and Integration
2011
·
Edizioni della Normale
Calculus of variations and partial differential equations
1999
·
Springer
Geometric Measure Theory and Real Analysis
2015
·
Scuola Normale Superiore
Biomedical composites
2010
·
CRC Press
Ennio De Giorgi Selected Papers
2006
·
Springer Berlin Heidelberg
Topics on analysis in metric spaces
2004
·
Oxford University Press