Topological degree for Chern-Simons Higgs models on finite graphs

DOI10.1007/s00526-024-02706-8arXiv2309.12024WikidataQ126265118 ScholiaQ126265118MaRDI QIDQ6203747

Publication date: 8 April 2024

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

Full work available at URL: https://arxiv.org/abs/2309.12024

Mathematics Subject Classification ID

Connectivity (05C40) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

Unnamed Item
Unnamed Item
On uniqueness class for a heat equation on graphs
Kazdan-Warner equation on graph
Yamabe type equations on graphs
The existence of Chern-Simons vortices
Mean field equation and relativistic Abelian Chern-Simons model on finite graphs
Harnack type inequality: The method of moving planes
On a sharp Sobolev-type inequality on two-dimensional compact manifolds
Double vortex condensates in the Chern-Simons-Higgs theory
The differential equation $\Delta u=8\pi-8\pi he^u$ on a compact Riemann surface
An analysis of the two-vortex case in the Chern-Simons Higgs model
Entropy dissipation of Fokker-Planck equations on graphs
Existence of positive solutions to some nonlinear equations on locally finite graphs
A discrete Schrödinger equation via optimal transport on graphs
Positive solutions of $p$-th Yamabe type equations on graphs
The Kazdan-Warner equation on canonically compactifiable graphs
Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
Infinite dimensional Morse theory and multiple solution problems
Vortex condensation in the Chern-Simons Higgs model: An existence theorem
The asymptotic behavior of Chern-Simons Higgs model on a compact Riemann surface with boundary
A heat flow for the mean field equation on a finite graph
Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
$p$-Laplacian equations on locally finite graphs
Multiple solutions for a generalized Chern-Simons equation on graphs
Existence of solutions to mean field equations on graphs
Multiple solutions of Kazdan-Warner equation on graphs in the negative case
Existence and convergence of solutions for nonlinear biharmonic equations on graphs
Nonlinear Schrödinger equation with growing potential on infinite metric graphs
Blow-up problems for nonlinear parabolic equations on locally finite graphs
A system of elliptic equations arising in Chern-Simons field theory
The existence and nonexistence of global solutions for a semilinear heat equation on 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
Semi-linear elliptic inequalities on weighted graphs
Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs
Self-dual Chern-Simons vortices
Multivortex solutions of the Abelian Chern-Simons-Higgs theory
A 𝑝-th Yamabe equation on graph
Positive solutions of $p$-th Yamabe type equations on infinite graphs
Kazdan-Warner equation on infinite graphs
Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)
Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs
Multiple condensate solutions for the Chern–Simons–Higgs theory
THE SELF-DUAL CHERN–SIMONS HIGGS EQUATION ON A COMPACT RIEMANN SURFACE WITH BOUNDARY
Asymptotic Behavior of the Chern–Simons Higgs 6-th Theory
Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
A class of semilinear elliptic equations on groups of polynomial growth

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