ON A CLASS OF NONLINEAR SCHRÖDINGER EQUATIONS ON FINITE GRAPHS

DOI10.1017/S0004972720000143zbMath1437.35637arXiv1903.05323OpenAlexW3008308711MaRDI QIDQ5110150

Shoudong Man

Publication date: 15 May 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05323

zbMATH Keywords

curvature-dimension type inequalityLaplacian on graphsSchrödinger equation on finite graphs

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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Cites Work

• Kazdan-Warner equation on graph
• Yamabe type equations on graphs
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• Dual variational methods in critical point theory and applications
• Curvature aspects of graphs
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