Multiplicity Solutions for a Class of Fractional Hamiltonian Systems With Concave-Convex Potentials

作者：Wu, Dong-Lun^*; Li, Chun; Yuan, Pengfei

来源：Mediterranean Journal of Mathematics, 2018, 15(2): 35.

DOI：10.1007/s00009-018-1079-y

• Fractional differential equations
• Variational methods
• Concave-convex potentials
• Liouville-Weyl fractional derivative
• Twisted condition

In this paper, we study the existence and nonuniqueness of nontrivial solutions for a class of fractional Hamiltonian systems with concave-convex potentials via the variational methods. A new twisted condition is introduced, which yields a new compact embedding theorem. Some results are new even for second-order Hamiltonian systems.

• 出版日期2018-4
• 单位西南石油大学; 西南大学