Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation

In this paper, we are concerned with the following quasilinear Schr & ouml;dinger equation {-Delta u+mu u-Delta(u(2))u=g(u) in R-N, integral R-N|u|(2)dx=m, u is an element of H1(R-N), where N >= 2, m > 0 is a given constant, mu is an element of R is a Lagrange multiplier. Under the almost optimal assumptions of g, the existence of infinitely many normalized solutions is obtained via a minimax argument. Moreover, we give a new strategy for finding a minimizer for constraint problems with nonhomogeneous nonlinearities.