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math.AP2025
Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space
Guofang Wei, Ling Xiao
In this paper, we prove that the first eigenfunction of the Laplacian for a horo-convex domain is super log-concave when is not large. Our re…
math.AP2025
Exterior Dirichlet problem for Hessian equations on a non-convex ring
Yanyan Li, Ling Xiao
In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. Thi…