Yunyan Yang

activity

20152023

most citedExtremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

8 citations · 10 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.AP2023

Topological degree for Chern-Simons Higgs models on finite graphs

Jiayu Li, Linlin Sun, Yunyan Yang

Let $(V, E)$ be a finite connected graph. We are concerned about the Chern-Simons Higgs model $Δ u = λ e^{u} (e^{u} - 1) + f, (0.1)$ where $Δ$ is the graph Lapl…

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.AP2021★ 1 cited

Trudinger-Moser inequalities on a closed Riemann surface with a symmetric conical metric

Yu Fang, Yunyan Yang

This is a continuation of our previous work [13]. Let $(Σ, g)$ be a closed Riemann surface, where the metric $g$ has conical singularities at finite points. Suppose $G$ is…

math.AP2016★ 8 cited

Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

Xiaomeng Li, Yunyan Yang

In a previous work (Int. Math. Res. Notices 13 (2010) 2394-2426), Adimurthi-Yang proved a singular Trudinger-Moser inequality in the entire Euclidean space $R^{N}$ $(N\geq 2…

math.AP2016★ 1 cited

A remark on a result of Ding-Jost-Li-Wang

Yunyan Yang, Xiaobao Zhu

Let $(M, g)$ be a compact Riemannian surface without boundary, $W^{1, 2} (M)$ be the usual Sobolev space, $J : W^{1, 2} (M) \to R$ be the functional defined by $$J(u)=\fr…

math.AP2016

Kazdan-Warner equation on graph

Alexander Grigor'yan, Yong Lin, Yunyan Yang

Let $G = (V, E)$ be a finite graph and $Δ$ be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such th…