Homoclinic orbits for a class of second-order Hamiltonian systems with concave–convex nonlinearities

摘要

In this paper, we study the existence of multiple homoclinic solutions for thefollowing second order Hamiltonian systemswhere L(t) satisfies a boundedness assumption which is different from the coercivecondition and W is a combination of subquadratic and superquadratic terms.