Abstract
for a convex, coercive continuous Hamiltonian on a closed Riemannian manifold M, we construct a unique forward weak KAM solution of
by a vanishing discount approach, where c(H) is the Mañé critical value. We also discuss the dynamical significance of such a special solution.
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The second author is supported by the National Natural Science Foundation of China (Grant No. 11901560); the first author is supported by the National Natural Science Foundation of China (Grant No. 11971060)
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Su, X.F., Zhang, J.L. Essential Forward Weak KAM Solution for the Convex Hamilton—Jacobi Equation. Acta. Math. Sin.-English Ser. 38, 797–806 (2022). https://doi.org/10.1007/s10114-022-1063-0
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DOI: https://doi.org/10.1007/s10114-022-1063-0