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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…