Nonlinear Schrödinger equation with growing potential on infinite metric graphs

DOI10.1016/j.na.2019.02.020zbMath1418.35333OpenAlexW2921382239MaRDI QIDQ2312547

Setenay Akduman, Alexander A. Pankov

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.02.020

zbMATH Keywords

bifurcationnonlinear Schrödinger equationexponential localizationmetric graphgeneralized Nehari manifold

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational principles in infinite-dimensional spaces (58E30) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (11)

Standing waves on quantum graphs ⋮ Calculus of variations on locally finite graphs ⋮ Normalized solutions for nonlinear Schrödinger equations on graphs ⋮ Least energy solutions to semi-linear elliptic problems on metric graphs ⋮ On the notion of ground state for nonlinear Schrödinger equations on metric graphs ⋮ An Agmon estimate for Schrödinger operators on graphs ⋮ Topological degree for Chern-Simons Higgs models on finite graphs ⋮ Existence of solutions to the nonlinear Schrödinger equation on locally finite graphs ⋮ Standing waves of the quintic NLS equation on the tadpole graph ⋮ Unnamed Item ⋮ Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs

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