21 citations · 88 across the 25 of their papers we have counts for
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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.DS2023
Non-minimality and instability of brake orbits for natural Lagrangians on Riemannian manifolds
Luca Asselle, Xijun Hu, Alessandro Portaluri +1
We investigate minimality and stability of periodic brake orbits in natural Lagrangian systems on smooth Riemannian manifolds. We prove that every non-constant periodic brake orbit…
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.…