Y. Yang

activity

20052026

most citedExistence of positive solutions to some nonlinear equations on locally finite graphs

108 citations · 181 across the 39 of their papers we have counts for

collaborators

39 papers

math.DG2026

Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs

Shiping Liu, Yunyan Yang

In this note, we prove that, on weighted graphs, the Lin--Lu--Yau curvature coincides with the $p$ -Ollivier curvature up to scaling whenever the idleness parameter $p \geq 1/2$ . Mor…

math.AP2023

Sobolev spaces on locally finite graphs

Mengqiu Shao, Yunyan Yang, Liang Zhao

In this paper, we develop the theory of Sobolev spaces on locally finite graphs, including completeness, reflexivity, separability, and Sobolev inequalities. Since there is no exac…

math.AP2023★ 1 cited

Existence and convergence of solutions to $p$ -Laplace equations on locally finite graphs

Mengqiu Shao, Yunyan Yang, Liang Zhao

We are mainly concerned with the nonlinear $p$ -Laplace equation \begin{equation*} -Δ_pu+ρ|u|^{p-2}u=ψ(x,u) \end{equation*} on a locally finite graph $G = (V, E)$ , where $p$ belongs to…

math.AP2023

Normalized solutions for nonlinear Schrödinger equations on graphs

Yunyan Yang, Liang Zhao

We are concerned with the nonlinear Schrödinger equation with an $L^{2}$ mass constraint on both finite and locally finite graphs and prove that the equation has a normalized solutio…

math.AP2022

Mean field type equations on line bundle over a closed Riemann surface

Jie Yang, Yunyan Yang

Let $(L, g)$ be a line bundle over a closed Riemann surface $(Σ, g)$ , $Γ (L)$ be the set of all smooth sections, and $\mathcal{D}:Γ(\mathcal{L})\rightar…

math.DG2022

Boundary value problem for the mean field equation on a compact Riemann surface

Jiayu Li, Linlin Sun, Yunyan Yang

Let $(Σ, g)$ be a compact Riemann surface with smooth boundary $\partial Σ$ , $Δ_{g}$ be the Laplace-Beltrami operator, and $h$ be a positive smooth function. Using a min-max scheme int…