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- W2092448328 abstract "Abstract We discuss an Aubry–Mather-type theory for solutions of non-linear, possibly degenerate, elliptic PDEs and other pseudo-differential operators. We show that for certain PDEs and ΨDEs with periodic coefficients and a variational structure it is possible to find quasi-periodic solutions for all frequencies. This results also hold under a generalized definition of periodicity that makes it possible to consider problems in covers of several manifolds, including manifolds with non-commutative fundamental groups. An abstract result will be provided, from which an Aubry–Mather-type theory for concrete models will be derived." @default.
- W2092448328 created "2016-06-24" @default.
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- W2092448328 date "2009-08-01" @default.
- W2092448328 modified "2023-10-16" @default.
- W2092448328 title "A generalization of Aubry–Mather theory to partial differential equations and pseudo-differential equations" @default.
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- W2092448328 doi "https://doi.org/10.1016/j.anihpc.2008.11.002" @default.
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