Guolin Qin

collaborators

4 papers

math.AP2026

Optimal Rigidity Results for the $k$ -Hessian Equation of Lane--Emden Type

Wei Dai, Jingze Fu, Changfeng Gui +1

In this paper, we establish optimal Liouville theorems and classification results for the $k$-Hessian Lane--Emden equation \[ σ_k(-D^2u)=u^p\quad\text{in }\R^n,\qquad -D^2u\in\ov…

math.AP2026

Smooth Failure of Boundary Unique Continuation for Harmonic Functions

Guolin Qin, Weicheng Zhan

For every $n \geq 3$ , we construct a nonconstant real-valued function $U \in C^{\infty} (R_{+}^{n})$ , harmonic in the upper half-space, whose complete boundary jet vanish…

math.AP2026

A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$ -Laplacian setting

Guolin Qin, Yi Ru-Ya Zhang

We prove a conditional Schoen-type Harnack inequality for positive weak solutions of the critical $p$ -Laplace equation $- I^_{p} u = g (u), 1 < p < n,$ under a global critical Sobo…

math.AP2026

Flexibility and rigidity for the Couette flow in the infinite channel

Dengjun Guo, Xiaoyutao Luo, Guolin Qin

We investigate the existence of stationary and traveling wave solutions to the 2D Euler equations near the Couette flow in the infinite channel $R \times [- 1, 1]$ . For Sobo…

Optimal Rigidity Results for the k-Hessian Equation of Lane--Emden Type

Smooth Failure of Boundary Unique Continuation for Harmonic Functions

A Pohozaev-type neck proof of a conditional Harnack inequality in the critical p-Laplacian setting

Flexibility and rigidity for the Couette flow in the infinite channel

Optimal Rigidity Results for the $k$ -Hessian Equation of Lane--Emden Type

A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$ -Laplacian setting