10 papers · 1 filter
Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group
Jungang Li
We prove that, for every , every positive entire solution of the critical CR Yamabe equation , , on the Heisenberg group …
Critical Geller Equations on Complex Hyperbolic Space: Sharp Stability, Ground-State Symmetry, and Global Compactness
Jungang Li
For integers \(n,\ell\geq1\), set \(Q_\ell=2(n+\ell)+2\) and \(q_\ell=2Q_\ell/(Q_\ell-2)\). On the Siegel domain \(\Ucal=\Heis^n\times(0,\infty)\), we study \[ -Δ_{\Heis^n}v -4ρ\bi…
Critical GJMS Equations on
Qiaoqiao Hua, Jungang Li, Chunxia Tao
Let , where , , and . Let be the order- GJMS operator, with , and assume that $Λ_0=\infσ_{L^2(M)}(…
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}^…
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…
Two-channel global compactness and existence for critical GJMS equations on hyperbolic space
Jungang Li, Zhiwei Wang
Let be the GJMS operator of order on real hyperbolic space, . For the critical equation \[ P_m u+a(x)u=|u|^{4m/(n-2m)}u \quad\text{on }\HH^n, \] where $0\leq a\in…