3 papers
math.AP2026
Liouville Rigidity for Real and Complex Degenerate Hessian Equations
Hao Fang, Biao Ma, Jinyang Wu
We prove Liouville rigidity theorems for translation-invariant real and complex Hessian equations in the viscosity sense, where the PDE is encoded by an admissible set $\mathcal{A}…
math.CO2026
Ideal GÃ¥rding polynomials
Hao Fang, Biao Ma
We introduce ideal GÃ¥rding polynomials, a convexity-enhanced subclass of GÃ¥rding polynomials whose GÃ¥rding components are recursively convex under partial differentiation. This…
math.DG2026
Admissibility, Topology, and the -Loewner--Nirenberg problem
Hao Fang, Matthew J. Gursky
The -Loewner--Nirenberg problem is a fully nonlinear generalization of the classical Loewner--Nirenberg problem of constructing complete conformal metrics with constant negat…