Abstract
We prove the existence of infinitely many time-periodic solutions of nonlinear Schrödinger equations using pseudo-holomorphic curve methods from Hamiltonian Floer theory. For the generalization of the Gromov-Floer compactness theorem to infinite dimensions, we show how to solve the arising small divisor problem by combining elliptic methods with results from the theory of diophantine approximations.
Original language | English |
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Article number | rnab053 |
Pages (from-to) | 12220-12252 |
Number of pages | 33 |
Journal | International Mathematics Research Notices |
Volume | 2022 |
Issue number | 16 |
Early online date | 19 Apr 2021 |
DOIs | |
Publication status | Published - Aug 2022 |
Bibliographical note
Publisher Copyright:© 2021 The Author(s) 2018.