Marcin Sroka

most citedRemarks on Hessian quotient equations on Riemannian manifolds

2 citations · 4 across the 4 of their papers we have counts for

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math.AP2026

On Liouville's theorem for the Hessian quotient equation $σ_{2} / σ_{1}$

Siyuan Lu, Marcin Sroka

We prove Liouville's theorem for semi-convex entire solutions to Hessian quotient equation $σ_{2} / σ_{1} = 1$ in $R^{n}$ . The proof is based on the observation that after rewriting…

math.AP2025★ 2 cited

A special concavity property for positive Hessian quotient operators

Pengfei Guan, Marcin Sroka

We establish a special concavity property for positive Hessian quotient operators $\frac{σ _{n} ( W )}{σ _{n - k} ( W )}, 1 \leq k \leq n - 1$ . As a consequence, we prove a Jacobi inequality for g…

On Liouville's theorem for the Hessian quotient equation σ2​/σ1​

A special concavity property for positive Hessian quotient operators

On Liouville's theorem for the Hessian quotient equation $σ_{2} / σ_{1}$