Multiple solutions of Kazdan-Warner equation on graphs in the negative case

DOI10.1007/s00526-020-01840-3zbMath1453.35091arXiv2009.09631OpenAlexW3105684532WikidataQ114229033 ScholiaQ114229033MaRDI QIDQ2204083

Shuang Liu, Yun Yan Yang

Publication date: 2 October 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09631

zbMATH Keywords

multiple solutionssemilinear elliptic equations on graphs

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) 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
• The existence of surfaces of constant mean curvature with free boundaries
• Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
• Existence of positive solutions to some nonlinear equations on locally finite graphs
• The Kazdan-Warner equation on canonically compactifiable graphs
• Curvature functions for open 2-manifolds
• Dual variational methods in critical point theory and applications
• Curvature functions for compact 2-manifolds
• Existence and convergence of solutions for nonlinear biharmonic equations on graphs
• ``Large conformal metrics of prescribed Gauss curvature on surfaces of higher genus
• The existence and nonexistence of global solutions for a semilinear heat equation on graphs
• Kazdan-Warner equation on graph in the negative case
• Prescribing Gaussian curvature on closed Riemann surface with conical singularity in the negative case
• Kazdan-Warner equation on infinite graphs
• A Note on the Problem of Prescribing Gaussian Curvature on Surfaces

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