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

Lili Wan, Jing Chen

• 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.