Benci, Vieri; Visciglia, Nicola Solitary waves with non-vanishing angular momentum. (English) Zbl 1030.35051 Adv. Nonlinear Stud. 3, No. 1, 151-160 (2003). Consider the following nonlinear Schrödinger equation: \[ i\frac{\partial\varphi}{\partial t}=-\frac{1}{2}\Delta \varphi-|\varphi|^{p-2}\varphi,\tag{1} \] where \(\varphi:\mathbb{R}^3\times \mathbb{R}\to C\) and \(2<p<6.\) Then it has been known that equation (1) admits solitary waves having vanishing momentum and angular momentum. In this paper, the authors are interested in the existence of standing waves with nonvanishing angular momentum. To prove the existence results, the authors employ the concentration compactness due to P. L. Lions. Reviewer: Yuxia Guo (Beijing) Cited in 15 Documents MSC: 35J60 Nonlinear elliptic equations 46B50 Compactness in Banach (or normed) spaces Keywords:concentration compactness; constrained minimization; extendibility of solutions; solitary waves PDF BibTeX XML Cite \textit{V. Benci} and \textit{N. Visciglia}, Adv. Nonlinear Stud. 3, No. 1, 151--160 (2003; Zbl 1030.35051) Full Text: DOI OpenURL