Fractional Hamiltonian Systems with Vanishing Potentials

Ledesma C.E.T. · Progress in Fractional Differentiation and Applications (2022) · DOI: 10.18576/pfda/080307

Resumen

In this paper we deal with an existence result for a class of fractional Hamiltonian system in R with potentials vanishing at infinity and suitable nonlinearities which are super-linear at the origin and at infinity. We establish new compact embedding theorem in order to show the boundedness of a Cerami sequence.

Instituciones: Universidad Nacional de Trujillo