\(p\)-th Kazdan-Warner equation on graph in the negative case

DOI10.1016/j.jmaa.2018.05.081zbMath1441.05129OpenAlexW2807097040MaRDI QIDQ1645133

Xiao-Xiao Zhang, Yan Xun Chang

Publication date: 28 June 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.081

zbMATH Keywords

lower solutionupper solutionKazdan-Warner equation

Mathematics Subject Classification ID

Connectivity (05C40)

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Cites Work

• Unnamed Item
• Kazdan-Warner equation on graph
• Extinction and positivity of the solutions of the heat equations with absorption on networks
• Yamabe type equations on graphs
• A class of Kazdan-Warner typed equations on non-compact Riemannian manifolds
• Existence of positive solutions to some nonlinear equations on locally finite graphs
• Curvature functions for open 2-manifolds
• A note on the Kazdan-Warner type conditions
• Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
• Curvature functions for compact 2-manifolds
• A Kazdan-Warner type identity for the \(\sigma_{k}\) curvature
• Sharp Davies-Gaffney-Grigor'yan lemma on graphs
• The dual Cheeger constant and spectra of infinite graphs
• Kazdan-Warner equation on graph in the negative case
• Gaussian curvature in the negative case