Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
Abstract
In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems u-L(t)u+Wu(t,u)=0, where L(t) is not necessarily positive definite and the growth rate of potential function W can be in (1,3/2). Using the variant fountain theorem, we obtain the existence of infinitely many homoclinic solutions for the second-order Hamiltonian systems.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.