Brouwer degree for Kazdan-Warner equations on a connected finite graph

DOI10.1016/j.aim.2022.108422zbMath1490.35512arXiv2104.09881OpenAlexW3154759929MaRDI QIDQ2671907

Linlin Sun, Liuquan Wang

Publication date: 3 June 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09881

zbMATH Keywords

existenceBrouwer degreeKazdan-Warner equation

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (10)

Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Existence of three solutions to a class of nonlinear equations on graphs ⋮ Normalized solutions for nonlinear Schrödinger equations on graphs ⋮ A heat flow with sign-changing prescribed function on finite graphs ⋮ A relativistic abelian Chern-Simons model on graph ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs ⋮ Topological degree for Chern-Simons Higgs models on finite graphs ⋮ Existence of solutions to the nonlinear Schrödinger equation on locally finite graphs ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Kazdan-Warner equation on graph
• Mean field equation and relativistic Abelian Chern-Simons model on finite graphs
• Prescribing Gaussian curvature on S 2
• Harnack type inequality: The method of moving planes
• Existence results for mean field equations
• The Kazdan-Warner equation on canonically compactifiable graphs
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• Existence of solutions to mean field equations on graphs
• Multiple solutions of Kazdan-Warner equation on graphs in the negative case
• Curvature functions for compact 2-manifolds
• Kazdan-Warner equation on graph in the negative case
• EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
• Scalar Curvatures on S 2
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Topological degree for a mean field equation on Riemann surfaces
• Nontopological N‐vortex condensates for the self‐dual Chern‐Simons theory
• Vortices in the Maxwell‐Chern‐Simons theory
• Kazdan-Warner equation on infinite graphs
• A Note on the Problem of Prescribing Gaussian Curvature on Surfaces
• Methods in Nonlinear Analysis

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