New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition

作者：Li, Xuefeng; Jia, Jin^*

来源：Boundary Value Problems, 2018, 2018(1): 133.

DOI：10.1186/s13661-018-1052-5

• Homoclinic solutions
• Second-order Hamiltonian systems
• Mixed condition
• Embedding theorem
• Variational methods

In this paper, we introduce a new mixed condition to obtain a new compact embedding theorem. Under this theorem, we study the existence and multiplicity of nontrivial homoclinic solutions for a class of second-order Hamiltonian systems with variable separated type nonlinear terms.

• 出版日期2018-9-7
• 单位西南财经大学