Showing 2024Show all
2 papers · 1 filter
math.AP2024
Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a disl…
math.CA2024
Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
In the paper, we utilize the recent variational, abstract theorem to show the existence of homoclinic solutions to the Hamiltonian system $$ \dot{z} = J D_z H(z, t), \quad t \in \m…