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Linear programming interpretations of Mather's variational principle
Journal article   Open access  Peer reviewed

Linear programming interpretations of Mather's variational principle

L. C. Evans and D. Gomes
ESAIM. Control, optimisation and calculus of variations, Vol.8, pp.693-702
01/01/2002
DOI: https://doi.org/10.1051/cocv:2002030

Abstract

35F20 90C05 duality Linear programming weak KAM theory
We discuss some implications of linear programming for Mather theory [13-15] and its finite dimensional approximations. We find that the complementary slackness condition of duality theory formally implies that the Mather set lies in an n-dimensional graph and as well predicts the relevant nonlinear PDE for the “weak KAM” theory of Fathi [5-8].
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https://doi.org/10.1051/cocv:2002030View
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