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math.AP2025
The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies
Lei Qin
In this paper, we prove that the first (positive) Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator \[ L(u)=Îu-(\nabla u,x), \] is strongly log-concave if the domain is boun…
math.AP2024
log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator
Lei Qin
In this paper, we investigate the log-concavity property of the first eigenfunction to the weighted -Laplace operator in class of bounded, convex and smooth domain. Moreover, we…
math.AP2024
A class of overdetermined problem for fractional Capacity
Lei Qin, Lu Zhang
In this paper, we consider an unconventional overdetermined problem through a property of concavity, which provides some characterizations of balls via Brunn-Minkowski inequalities…