Ground state homoclinic orbits of damped vibration problems
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, 455000, P.R. China
Boundary Value Problems 2014, 2014:106 doi:10.1186/1687-2770-2014-106Published: 9 May 2014
In this paper, we consider a class of non-periodic damped vibration problems with superquadratic nonlinearities. We study the existence of nontrivial ground state homoclinic orbits for this class of damped vibration problems under some conditions weaker than those previously assumed. To the best of our knowledge, there has been no work focused on this case.
MSC: 49J40, 70H05.