Existence of solutions to mean field equations on graphs
From MaRDI portal
Publication:2186085
DOI10.1007/s00220-020-03708-1zbMath1447.35338arXiv1903.07891OpenAlexW3102720363MaRDI QIDQ2186085
An Huang, Yong Lin, Shing Tung Yau
Publication date: 9 June 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07891
Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items
Mean field equation and relativistic Abelian Chern-Simons model on finite graphs, Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs, Existence of solutions to Chern-Simons-Higgs equations on graphs, Brouwer degree for Kazdan-Warner equations on a connected finite graph, Calculus of variations on locally finite graphs, Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs, Existence theorems for a generalized Chern–Simons equation on finite graphs, Multiple solutions of a \(p\)-th Yamabe equation on graph, Ground states for logarithmic Schrödinger equations on locally finite graphs, Existence of three solutions to a class of nonlinear equations on graphs, On the existence of a solution of a boundary value problem on a graph for a nonlinear equation of the fourth order, 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, A heat flow for the mean field equation on a finite graph, Application of Rothe's method to a nonlinear wave equation on graphs, Unnamed Item, Multiple solutions for a generalized Chern-Simons equation on graphs
Cites Work
- Unnamed Item
- Kazdan-Warner equation on graph
- Elliptic functions, Green functions and the mean field equations on tori
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- The Kazdan-Warner equation on canonically compactifiable graphs
- Vortex condensation in the Chern-Simons Higgs model: An existence theorem
- Existence of bubbling solutions for Chern-Simons model on a torus
- Curvature functions for compact 2-manifolds
- Kazdan-Warner equation on graph in the negative case
- Topological degree for a mean field equation on Riemann surfaces
- Kazdan-Warner equation on infinite graphs
