A note on Kazdan-Warner equation on networks

DOI10.1515/acv-2020-0046zbMath1500.35283arXiv1909.08472OpenAlexW3130144774MaRDI QIDQ2086110

Fabio Camilli, Claudio Marchi

Publication date: 20 October 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08472

zbMATH Keywords

networkKirchhoff conditionKazdan-Warner equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

Semi-linear elliptic inequalities on weighted graphs ⋮ Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs

Cites Work

• Viscosity solutions for junctions: well posedness and stability
• NLS ground states on graphs
• Kazdan-Warner equation on graph
• Elliptic operators on elementary ramified spaces
• Diffusion processes on graphs and the averaging principle
• \(p\)-th Kazdan-Warner equation on graph in the negative case
• Differential equations on networks (geometric graphs)
• Diffusion processes on graphs: Stochastic differential equations, large deviation principle
• Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
• Curvature functions for compact 2-manifolds
• A class of infinite horizon mean field games on networks
• Semigroup methods for evolution equations on networks
• Kazdan-Warner equation on graph in the negative case
• Stationary Mean Field Games Systems Defined on Networks
• Gaussian curvature in the negative case
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