B. Deng

activity

20192021

most citedSharp quantitative estimates of Struwe's Decomposition

8 citations · 9 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.AP2021★ 1 cited

Non-degeneracy and quantitative stability of half-harmonic maps from $R$ to $S$

Bin Deng, Liming Sun, Juncheng Wei

We consider half-harmonic maps from $R$ (or $S$ ) to $S$ . We prove that all (finite energy) half-harmonic maps are non-degenerate. In other words, they ar…

math.AP2021★ 8 cited

Sharp quantitative estimates of Struwe's Decomposition

Bin Deng, Liming Sun, Juncheng Wei

Suppose $u \in H ˙^{1} (R^{n})$ . In a seminal work, Struwe proved that if $u \geq 0$ and $∥Δ u + u^{\frac{n + 2}{n - 2}} ∥_{H^{- 1}} := Γ (u) \to 0$ then $d i s t (u, T) \to 0$ , whe…

math.AP2020

Classification of Blow-ups and Monotonicity Formula for Half Laplacian Nonlinear Heat Equation

Bin Deng, Yannick Sire, Juncheng Wei +1

We consider the nonlinear half laplacian heat equation $u_{t} + (- Δ)^{\frac{1}{2}} u - ∣ u ∣^{p - 1} u = 0, R^{n} \times (0, T) .$ We prove that all blows-up are type I, provided…

math.AP2019

The Neumann problem for a class of fully nonlinear elliptic partial differential equations

Bin Deng

In this paper, we establish a global $C^{2}$ estimates to the Neumann problem for a class of fullly nonlinear elliptic equations. By the method of continuity, we establish the existe…

Non-degeneracy and quantitative stability of half-harmonic maps from R to S

Sharp quantitative estimates of Struwe's Decomposition

Classification of Blow-ups and Monotonicity Formula for Half Laplacian Nonlinear Heat Equation

The Neumann problem for a class of fully nonlinear elliptic partial differential equations

Non-degeneracy and quantitative stability of half-harmonic maps from $R$ to $S$