works on
dirichlet problem 1eigenfunctions 1horoconvex domains 1hyperbolic geometry 1log-concavity 1partial differential equations 1

From the 1 of 1 linked paper with an AI index.

collaborators

1 paper

math.DG2026

Log-Concavity and Level-Set Horoconvexity of the First Eigenfunction on Horoconvex Domains in the Hyperbolic Plane

Xianzhe Dai, John M. Ennis, Xuan Hien Nguyen +1

The paper proves that the first Dirichlet eigenfunction on any bounded smooth horoconvex domain in the hyperbolic plane is log‑concave, i.e., the Hessian of its negative logarithm…