Normalized Solutions For The Nonlinear Biharmonic Schrodinger Equation With P-laplacian

In this paper,we study the existence of solutions for the nonlinear biharmonic Schrodinger equation with p-Laplacian△2u-β△pu+αu=|u|2σu,in RN,under the constraint∫RN|u|2dx =a>0,where N>1,0<σ<4/N.We divided into two cases:β>0,2≤p<2*andβ<0,2<p<2+4/N+2.In both cases,we proved the existence of solutions by the global minimization theory of constrained functional.