activity
20192026
most citedMonotone methods for semilinear parabolic and elliptic equations on graphs

1 citations · 2 across the 11 of their papers we have counts for

collaborators

12 papers

math.AP2026

Logarithmic upper bounds and axial front selection for spatially periodic lattice Fisher--KPP equations

Yuanyang Hu, Zhenkun Wang

We study the position and shape of invasion fronts for spatially periodic Fisher--KPP equations on higher-dimensional lattices, starting from localized initial data. Periodic spect…

math.AP2026

Bramson correction and convergence to the critical wave for Fisher-KPP equations on

Yuanyang Hu

We consider Fisher-KPP equations with nearest-neighbor diffusion on , , with nonzero finitely supported initial data. We prove a logarithmic delay of the front…

math.AP2026

Sharp Propagation and the Local-to-Nonlocal Transition for Fractional Fisher-KPP Equations on Integer Lattices

Yuanyang Hu

Let denote normalized nearest-neighbor averaging on and set . We consider For a Fisher-KPP reaction…

math.AP2022★ 1 cited

Lotka-Volterra competition models on finite graphs

Yuanyang Hu, Chengxia Lei

In this paper, we study three two competing species Lotka-Volterra competition models on finite connected graphs, with Dirichlet, Neumann or no boundary conditions. We get that whe…

math.AP2022

Prey-Predator models on graphs

Yuanyang Hu, Chengxia Lei

In this paper, we study the Lotka-Volterra prey-predator models consisting of two species on finite connected graphs under Neumann condition and the condition that there is no boun…

math.AP2022★ 1 cited

Monotone methods for semilinear parabolic and elliptic equations on graphs

Yuanyang Hu, Chengxia Lei

This paper is devoted to investigate the extinction and propagation properties of solutions to the graph Laplacian parabolic problems with Kpp type or Allen-Cahn type forcing terms…

math.AP2022

Existence of solutions to relativistic non-Abelian Chern-Simons-Higgs vortex equations on graphs

Yuanyang Hu

Let be a connected finite graph. We study the relativistic non-Abelian Chern-Simons-Higgs vortex equations on the graph . We establish an existence result to the relat…

math.AP2022

Existence and uniqueness of solutions to non-Abelian multiple vortex equations on graphs

Yuanyang Hu

Let be a connected finite graph. We study a system of non-Abelian multiple vortex equations on . We established a necessary and sufficient condition for the existence…

math.AP2022

Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs

Yuanyang Hu

Let be a connected finite graph. We investigate two Bogomol'nyi-Prased-Sommerfeld equations on . We establish necessary and sufficient conditions for the existence and…

math.AP2022

Existence and uniqueness of solutions to Bogomol'nyi equations on graphs

Yuanyang Hu

Let be a connected finite graph. We study the Bogomol'nyi equation \begin{equation*} Δu= \mathrm{e}^{u}-1 +4 π\sum_{s=1}^{k} n_s δ_{z_{s}} \quad \text { on } \quad G, \en…

math.AP2022

Existence of solutions to a generalized self-dual Chern-Simons equation on finite graphs

Yuanyang Hu

Let be a connected finite graph. We study the existence of solutions for the following generalized Chern-Simons equation on \begin{equation*} Δu=λ\mathrm{e}^{u}\left(…

math.AP2019

A free boundary problem for spreading under shifting climate

Yuanyang Hu, Xinan Hao, Xianfa Song +1

In this paper we consider a free boundary problem which models the spreading of an invasive species whose spreading is enhanced by the changing climate. We assume that the climate…