Normalized solutions for nonlinear Schrödinger equations
Normalized solutions for nonlinear Schrödinger equations
Due to its very important applications in many physical problems, the normalized solution of nonlinear Schrodinger equations has gradually attracted the attention of a large number of researchers in recent years:beginalign*begincases-Δ u+λ u=g(u), x∈ mathbbR^N, u∈ H¹(mathbbR^N), displaystyle∫mathbbR^Nu²=c,endcasesendalign*where the normalization condition $c\\in~\\mathbb{R}^+$ is given, but the Lagrange multiplier $\\lambda$ is …