4 papers · 1 filter
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}^…
Symmetry of Solutions to Fractional Semilinear Equations on Hyperbolic Spaces
Jianxiong Wang
We study a semilinear equation involving the fractional Laplacian on the hyperbolic space . Unlike in conformally compact Einstein manifolds, the fractional Laplacian…
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…