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

Abstract

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.

arXiv admin note: text overlap with arXiv:2204.01043

References in corpus (3)

• Standing waves on quantum graphs
• Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs
• Bounded Palais-Smale sequences with Morse type information for some constrained functionals

Cited by in corpus (2)

• Prescribing curvatures in the disk via conformal changes of the metric: the case of negative Gaussian curvature
• Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions