Scholarlink

<p>We study the existence, the stability and the non-degeneracy of normalized standing-waves solutions to a one-dimensional non-linear Schrödinger equation. The non-linearity belongs to a class of algebraic functions appropriately defined. We can show that for some of these non-linearities one can observe the existence of degenerate minima, and the multiplicity of positive, radially symmetric minima having the same mass and the same energy. We also prove the stability of the ground-state and the stability of normalized standing-waves whose profile is a minimum of the energy constrained to the mass.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Degeneracy and multiplicity of standing-waves of the one-dimensional non-linear Schrödinger equation for a class of algebraic non-linearities

  • 期刊论文

  • 发表日期：

    2025年6月2日

查看全文
  • Daniele Garrisi,
  • Vladimir Georgiev

摘要

We study the existence, the stability and the non-degeneracy of normalized standing-waves solutions to a one-dimensional non-linear Schrödinger equation. The non-linearity belongs to a class of algebraic functions appropriately defined. We can show that for some of these non-linearities one can observe the existence of degenerate minima, and the multiplicity of positive, radially symmetric minima having the same mass and the same energy. We also prove the stability of the ground-state and the stability of normalized standing-waves whose profile is a minimum of the energy constrained to the mass.