Blow up and strong instability result for a quasilinear Schrödinger equation

Variational methods are used to prove that the solution of the quasilinear Schrödinger equationiut+uxx+|u|p-2u+(|u|2)xxu=0,u|t=0=u0(x),x∈Rmust blow up in a finite time for suitable initial data with positive initial energy and some restrictions on p  . Then using this we prove that the standing wave is H1(R)H1(R) strongly unstable with respect to the quasilinear Schrödinger equation.