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Browsing by Subject "Nemytskii operators on Sobolev spaces"

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    Existence of Quasiperiodic Solutions of Elliptic Equations on the Entire Space
    (2017-07) Valdebenito Castillo, Dario
    We consider semilinear equations on the N+1-dimensional space. We give sufficient conditions for the existence of solutions which are quasiperiodic in one variable and decaying in the others. Such solutions are found using a center manifold reduction and results from the KAM theory. We discuss several classes of nonlinearities to which our results apply.