Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems

preprint2016arXivOpen access

Abstract

In this paper, we study infinite-dimensional Lagrangian systems where the potential functions are periodic, rearrangement invariant and weakly upper semicontinuous. And we prove that there exists a calibrated curve for every M∈L2(I)M\in L^{2}(I).

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