4 papers
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…
Sharp Sobolev and Adams-Trudinger-Moser inequalities for symmetric functions without boundary conditions on hyperbolic spaces
João Marcos do Ã, Guozhen Lu, Raonà Ponciano
Embedding theorems for symmetric functions without zero boundary condition have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have…
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…