2 citations · 2 across the 11 of their papers we have counts for
12 papers
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…
The Method of Moving Spheres on the Hyperbolic Space and the Classification of Solutions and the prescribed Q-curvature problem
Jungang Li, Guozhen Lu, Jianxiong Wang
The classification of solutions to semilinear partial differential equations, as well as the classification of critical points of the corresponding functionals, have wide applicati…
Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces
Jungang Li, Guozhen Lu, Jianxiong Wang
We show that nontrivial solutions to higher and fractional order equations with certain nonlinearity are radially symmetric and nonincreasing on geodesic balls in the hyperbolic sp…
The Chang-Marshall Trace Inequality for Sobolev functions in domains in higher dimensional space
Jungang Li, Guozhen Lu
In their celebrated work [5], Chang and Marshall established a critical trace inequality of Moser-Trudinger type for holomorphic functions with mean value zero on unit disc in the…
Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions
Jungang Li, Guozhen Lu, Qiaohua Yang
The main purpose of this paper is to establish the existence, nonexistence and symmetry of nontrivial solutions to the higher order Brezis-Nirenberg problems associated with the GJ…
The -ellipticity condition for second order elliptic systems and applications to the Lamé and homogenisation problems
Martin Dindoš, Jungang Li, Jill Pipher
The notion of -ellipticity has recently played a significant role in improving our understanding of issues of solvability of boundary value problems for scalar complex valued el…
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions
Jungang Li, Guozhen Lu, Maochun Zhu
Let be the -dimensional Heisenberg group, be the homogeneous dimension of . We extend the well-known con…