Abstract
The aim of this note is to show that Alexandrov solutions of the Monge–Ampère equation, with right-hand side bounded away from zero and infinity, converge strongly in if their right-hand sides converge strongly in . As a corollary, we deduce strong stability of optimal transport maps.
Citation
Guido De Philippis. Alessio Figalli. "Second order stability for the Monge–Ampère equation and strong Sobolev convergence of optimal transport maps." Anal. PDE 6 (4) 993 - 1000, 2013. https://doi.org/10.2140/apde.2013.6.993
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