Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs
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Publication:2062559
DOI10.3934/CPAA.2021147zbMath1492.34030OpenAlexW3199436407MaRDI QIDQ2062559
Publication date: 27 December 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021147
Variational methods involving nonlinear operators (47J30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
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Cites Work
- NLS ground states on graphs
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Multiple positive bound states for the subcritical NLS equation on metric graphs
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- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
- Least energy solutions to semi-linear elliptic problems on metric graphs
- Nonlinear Schrödinger equation with growing potential on infinite metric graphs
- NLS ground states on metric trees: existence results and open questions
- A remark on least energy solutions in $\mathbf {R}^N$
- Peaked and Low Action Solutions of NLS Equations on Graphs with Terminal Edges
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