Decoupling of DeGiorgi-type systems via multi-marginal optimal transport∗

Abstract

We exhibit a surprising relationship between elliptic gradient systems of PDEs, multi-marginal MongeKantorovich optimal transport problem, and multivariable Hardy-Littlewood inequalities. We show that the notion of an orientable elliptic system, conjectured in [6] to imply that (in low dimensions) solutions with certain monotonicity properties are… (More)

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Cite this paper

@inproceedings{Ghoussoub2013DecouplingOD, title={Decoupling of DeGiorgi-type systems via multi-marginal optimal transport∗}, author={Nassif Ghoussoub and Brendan Pass}, year={2013} }