A Brunn--Minkowski inequality and Convexity for the 2-Hessian eigenvalue in convex domains

Jiahuan Li, Xi-Nan Ma, Guohuan Qiu +1

We prove the strict log-concavity of the positive first eigenfunction \(-u\) of the \(2\)-Hessian equation and the strict $1/2$-convexity of the solution for the corresponding tors…