4 papers
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…
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…