Existence and multiplicity of solutions for semilinear differential equations with subquadratic potentials

Existence and multiplicity of nontrivial solutions of a class of semilinear differential equations with subquadratic potentials are studied using Clark's theorem. As an application of the above results, periodic solutions for a second Hamiltonian systems are studied.

Bibliographic Details
Main Authors: Chengyue Li, Mengmeng Wang, Zhiwei Xiao
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/166/abstr.html