Normalized solutions for nonlinear Schrödinger equations

Due to its very important applications in many physical problems, the normalized solution of nonlinear Schr¨odinger equations has gradually attracted the attention of a large number of researchers in recent years: = c; where the normalization condition c 2 R + is given, but the Lagrange multiplier (cid:21) is unknown. We first introduce the existence, multiplicity, and other properties of the normalized solution of a single Schr¨odinger equation under different conditions. Then we introduce some new results related to the normalized solution of the nonlinear Schr¨odinger systems. Finally we list some open problems related to the