2 papers
math.SG2024
On the degenerate Arnold conjecture on
L. Asselle, M. Starostka
In the 1960s Arnold conjectured that a Hamiltonian diffeomorphism of a closed connected symplectic manifold should have at least as many contractible fixed points as a smoo…
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…