Homoclinic Solutions for Hamiltonian Systems of p-Laplacian-Like Type

• Wan, Lili ^[1] ; Chen, Jing ^[1]
  1. [1] Southwest University of Science and Technology

     Southwest University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 2, 2020
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The existence and multiplicity of homoclinic solutions are obtained for Hamiltonian systems of p-Laplacian-like type ddt(φ(t,u˙))-a(t)|u(t)|p-2u(t)+λ∇W(t,u(t))=0 via variational methods, where a(t) is bounded and W(t, u) is under concave-convex conditions. Recent results in the literature are generalized and improved significantly.