%0 Journal Article
%T Infinitely many solutions for a fourth-order boundary-value problem
%A Seyyed Mohsen Khalkhali
%A Shapour Heidarkhani
%A Abdolrahman Razani
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,. }$$ Our approach is based on variational methods and critical point theory.
%K Fourth-order equation
%K infinitely many solutions
%K critical point theory
%K variational methods
%U http://ejde.math.txstate.edu/Volumes/2012/164/abstr.html