Jungang Li

collaborators

7 papers

math.AP2026

Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group

Jungang Li

We prove that, for every $n \geq 2$ , every positive entire solution of the critical CR Yamabe equation $4 Δ_{b} u = n^{2} u^{(Q + 2) / (Q - 2)}$ , $Q = 2 n + 2$ , on the Heisenberg group $H^{n}$ …

math.AP2026

Critical Geller Equations on Complex Hyperbolic Space: Nondegeneracy, Geodesic Symmetry, and Global Compactness

Jungang Li

For each integer $\ell\geq1$, the critical Geller equation on the Siegel domain $\Ucal=\Heis^n\times(0,\infty)$ is the $U(\ell)$-invariant sector of the critical Folland--Ste…

math.AP2026

Critical GJMS Equations on $H^{n} \times S^{m}$

Qiaoqiao Hua, Jungang Li, Chunxia Tao

Let $M = H^{n} \times S^{m}$ , where $n \geq 2$ , $m \geq 1$ , and $N = n + m$ . Let $P_{k}$ be the order- $2 k$ GJMS operator, with $1 \leq k < N /2$ , and assume that $Î_0=\infÏ_{L^2(M)…

math.AP2026

Two-channel global compactness and existence for critical GJMS equations on hyperbolic space

Jungang Li, Zhiwei Wang

On hyperbolic space, concentration at the conformal boundary of the ball model is not an exceptional phenomenon to be excluded: it is escape to infinity along hyperbolic isometries…

math.AP2026

Conformally invariant equations with negative critical exponents on the three dimensional hyperbolic space

Debdip Ganguly, Jungang Li, Guozhen Lu +1

We establish a symmetry result for positive entire solutions with a prescribed growth rate to the following fourth order equation on the 3-dimensional hyperbolic space $\mathbb{H}^…

math.AP2026

Optimal Trudinger-Moser inequalities on complete noncompact Riemannian manifolds: Revisit of the argument from the local inequalities to global ones

Jungang Li, Guozhen Lu

The main purpose of this short note, on the one hand, to is rigorize some part of the proof of Theorem 1.3 in [11] in a simple way, and on the other hand, to give an alternative ar…

Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group

Critical Geller Equations on Complex Hyperbolic Space: Nondegeneracy, Geodesic Symmetry, and Global Compactness

Critical GJMS Equations on Hn×Sm

Two-channel global compactness and existence for critical GJMS equations on hyperbolic space

Conformally invariant equations with negative critical exponents on the three dimensional hyperbolic space

Optimal Trudinger-Moser inequalities on complete noncompact Riemannian manifolds: Revisit of the argument from the local inequalities to global ones

Critical GJMS Equations on $H^{n} \times S^{m}$