A heat flow with sign-changing prescribed function on finite graphs

DOI10.1016/j.jmaa.2023.127529zbMath1522.35169MaRDI QIDQ6136360

Yang Liu, Mengjie Zhang

Publication date: 29 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

heat flow on graphsmean field equation on graphs

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Kazdan-Warner equation on graph
• Yamabe type equations on graphs
• On a sharp Sobolev-type inequality on two-dimensional compact manifolds
• The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
• Existence of positive solutions to some nonlinear equations on locally finite graphs
• The convergence of the mean field type flow at a critical case
• Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• A heat flow for the mean field equation on a finite graph
• Blow-up for a semilinear heat equation with Fujita's critical exponent on locally finite graphs
• A mean field type flow with sign-changing prescribed function on a symmetric Riemann surface
• The generalized porous medium equation on graphs: existence and uniqueness of solutions with \(\ell^1\) data
• Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
• Curvature functions for compact 2-manifolds
• Existence and convergence of solutions for nonlinear biharmonic equations on graphs
• Blow-up problems for nonlinear parabolic equations on locally finite graphs
• A mean field type flow. I: compactness of solutions to a perturbed mean field type equation
• The existence and nonexistence of global solutions for a semilinear heat equation on graphs
• A mean field type flow. II: Existence and convergence
• 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
• Scalar Curvatures on S 2
• Topological degree for a mean field equation on Riemann surfaces
• Nontopological N‐vortex condensates for the self‐dual Chern‐Simons theory
• Application of Rothe's method to a nonlinear wave equation on graphs
• A remark on a result of Ding-Jost-Li-Wang
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• Existence of three solutions to a class of nonlinear equations on graphs