activity
20232026
most citedLiouville theorems for conformally invariant fully nonlinear equations. I

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

cs.CR2026

FreeSBee: A Constant-Time Compilation Pipeline

Julian Ganz, David Knothe, David Oswald +3

Constant-time execution is an important security property, especially for IoT devices, that prevents the leakage of sensitive information over timing side-channels. However, achiev…

math.AP2026

Nirenberg's Theorem and Singular Solutions from Traceless Symmetric Matrices

BaoZhi Chu

Nirenberg's theorem gives interior regularity for continuous viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two. In dimensio…

math.AP2026

On Singular Sets of Fully Nonlinear Uniformly Elliptic Equations

BaoZhi Chu

For continuous viscosity solutions of fully nonlinear uniformly elliptic equations , the work of Nadirashvili--Tkachev--Vlăduţ shows that need not be in d…

math.AP2024

Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

BaoZhi Chu, YanYan Li, Zongyuan Li

The curvature and the boundary curvature arise naturally from the Chern--Gauss--Bonnet formula for manifolds with boundary. In this paper, we prove a L…

math.AP2024

On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

BaoZhi Chu, YanYan Li, Zongyuan Li

In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optima…

math.AP2023★ 1 cited

Liouville theorems for conformally invariant fully nonlinear equations. I

BaoZhi Chu, YanYan Li, Zongyuan Li

A fundamental theorem of Liouville asserts that positive entire harmonic functions in Euclidean spaces must be constant. A remarkable Liouville-type theorem of Caffarelli-Gidas-Spr…