Existence of three solutions for a quasilinear two-point boundary value problem. (Q1416440)

The authors investigate a quasilinear second-order differential equation with Dirichlet boundary conditions, i.e., \((\varphi_p(u'))'+\lambda f(t,u)=0\), \(u(a)=u(b)=0\), where \(\varphi_p(v):=| v| ^{p-2}v\), \(p>1\) is a constant. The existence of an open interval of parameters which ensures this problem admits at least three solutions is determined by using the critical point theory.