Author

Jinyang Wu

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Preprint Sep 2026

Determinantal capacity and $L^\infty$-Estimates

We introduce determinantal ellipticity, or det-ellipticity, a quantitative structural condition for fully nonlinear elliptic operators on compact K\"ahler manifolds that provides the link between the $L^\infty$-estimates and algebraic/combinatorial properties of a large class of Hessian elliptic operators. On the analy...

H. Fang, Biao Ma, Jin-Yang Wu · 0 citations

Preprint Jul 2026

Liouville Rigidity for Real and Complex Degenerate Hessian Equations

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 $\mathcal{A}$. The main structural notion is Liouville admissibility, a recursive geometric condition requiring each quotient set to be either boundary...

H. Fang, Biao Ma, Jinyang Wu · 1 citation