Linear Programming Interpretations of Mather’s Variational Principle
نویسندگان
چکیده
We discuss some implications of linear programming for Mather theory [Mt1-2], [M-F] 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 [F1-3], [E-G]. In memory of Professor Jacques–Louis Lions
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