B. Deng

activity

20192021

most citedSharp quantitative estimates of Struwe's Decomposition

8 citations · 8 across the 1 of their papers we have counts for

collaborators

3 papers

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…