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math.DG2023
A note on the Morse homology for a class of functionals in Banach spaces involving the -Laplacian
L. Asselle, M. Starostka
In this paper we show how to construct Morse homology for an explicit class of functionals involving the -Laplacian. The natural domain of definition of such functionals is the…
math.DG2023
Zoll magnetic systems on the two-torus: a Nash-Moser construction
Luca Asselle, Gabriele Benedetti, Massimiliano Berti
We construct an infinite-dimensional family of smooth integrable magnetic systems on the two-torus which are Zoll, meaning that all the unit-speed magnetic geodesics are periodic.…