Least energy solutions to semi-linear elliptic problems on metric graphs

Author:

Kurata Kazuhiro,Shibata Masataka

Funder

JSPS

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. NLS ground states on graphs;Adami;Calc. Var. Partial Differ. Equ.,2015

2. Multiple positive bound states for the subcritical NLS equation on metric graphs;Adami;Calc. Var. Partial Differ. Equ.,2019

3. Nonlinear Schrödinger equation with growing potential on infinite metric graphs;Akduman;Nonlinear Anal.,2019

4. Nonlinear scalar field equations. I. Existence of a ground state;Berestycki;Arch. Ration. Mech. Anal.,1983

5. Introduction to Quantum Graphs;Berkolaiko,2013

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1. Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs;Journal of Mathematical Analysis and Applications;2024-02

2. Normalized ground states for a doubly nonlinear Schrödinger equation on periodic metric graphs;Electronic Research Archive;2024

3. On the notion of ground state for nonlinear Schrödinger equations on metric graphs;Calculus of Variations and Partial Differential Equations;2023-05-27

4. Standing waves on quantum graphs;Journal of Physics A: Mathematical and Theoretical;2022-05-30

5. Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library;The SMAI Journal of computational mathematics;2022-04-08

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