Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations

This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RNRN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.