Wei Jiang, Qingye Zhang
Abstract:
In this article we study the existence of infinitely many homoclinic
solutions for a class of second-order Hamiltonian systems
where L is not required to be either uniformly positive
definite or coercive, and W is superquadratic at infinity in u
but does not need to satisfy the Ambrosetti-Rabinowitz superquadratic condition.
Submitted December 14, 2015. Published March 10, 2016.
Math Subject Classifications: 34C37, 35A15, 37J45.
Key Words: Hamiltonian system; Homoclinic solution; variational method.
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Wei Jiang Department of Mathematics Jiangxi Normal University Nanchang 330022, China email: jiangweijw1991@163.com | |
Qingye Zhang Department of Mathematics Jiangxi Normal University Nanchang 330022, China email: qingyezhang@gmail.com |
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