The Monge problem on non-compact manifolds

zbMath1165.49312MaRDI QIDQ2462254

Alessio Figalli

Publication date: 26 November 2007

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108707

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)

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Cites Work

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• The Monge problem for supercritical Mañé potentials on compact manifolds
• Optimal mass transportation and Mather theory
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Existence of optimal transport maps for crystalline norms
• Weak KAM theorem on non compact manifolds
• Monge’s transport problem on a Riemannian manifold
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• Lagrangian flows: The dynamics of globally minimizing orbits-II
• Optimal transportation on non-compact manifolds

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