Mean field equation and relativistic Abelian Chern-Simons model on finite graphs
From MaRDI portal
Publication:820512
DOI10.1016/j.jfa.2021.109218zbMath1473.35294OpenAlexW3194587584MaRDI QIDQ820512
Wen Yang, Jun Wang, Hsin-Yuan Huang
Publication date: 27 September 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109218
Variational methods applied to PDEs (35A15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items
Brouwer degree for Kazdan-Warner equations on a connected finite graph, Existence theorems for a generalized Chern–Simons equation on finite graphs, Semi-linear elliptic inequalities on weighted graphs, Multiple solutions of a \(p\)-th Yamabe equation on graph, Normalized solutions for nonlinear Schrödinger equations on graphs, Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs, A relativistic abelian Chern-Simons model on graph, Topological degree for Chern-Simons Higgs models on finite graphs, Existence of solutions to the nonlinear Schrödinger equation on locally finite graphs
Cites Work
- Unnamed Item
- Kazdan-Warner equation on graph
- Yamabe type equations on graphs
- Vortex condensates for relativistic Abelian Chern-Simons model with two Higgs scalar fields and two gauge fields on a torus
- Self-dual gauge field vortices. An analytical approach
- Mean field equations of Liouville type with singular data: sharper estimates
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Harnack type inequality: The method of moving planes
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- The sphere covering inequality and its applications
- Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
- Solving Dirichlet and Poisson problems on graphs by means of equilibrium measures
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Existence of solutions to mean field equations on graphs
- On the general Toda system with multiple singular points
- Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter
- Dual variational methods in critical point theory and applications
- \textit{A priori} estimates of Toda systems. I: The Lie algebras of \(\mathbf{A}_n, \mathbf{B}_n, \mathbf{C}_n\) and \(\mathbf{G}_2\)
- A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations
- A system of elliptic equations arising in Chern-Simons field theory
- Uniqueness of solutions of mean field equations in 𝑅²
- Uniqueness Results for Mean Field Equations with Singular Data
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Statistical mechanics of classical particles with logarithmic interactions
- Topological degree for a mean field equation on Riemann surfaces
- Self-dual Chern-Simons vortices
- Toda systems and hypergeometric equations
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- The Sphere Covering Inequality and Its Dual
- Symmetry of Solutions of a Mean Field Equation on Flat Tori
- Mean Field Equation of Liouville Type with Singular Data: Topological Degree
- Uniqueness and convergence on equilibria of the Keller–Segel system with subcritical mass
