论文标题

$ l^2 $ -supergalitical nls方程的归一化解决方案,具有本地化非线性

Normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

论文作者

Borthwick, Jack, Chang, Xiaojun, Jeanjean, Louis, Soave, Nicola

论文摘要

在本文中,我们关注的是在具有局部非线性的非2CACT度量图上的非线性Schrödinger方程的归一化解决方案。在一个$ l^2 $ - 秘密制度中,我们获得了任何规定质量的解决方案。通过一种方法可以证明可以成功地治疗非绘制图上的更多通用方程,从而获得了该结果。

In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a $L^2$-supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.

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