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math.AP2026
Quantitative properties of the Hardy-type mean field equation
Lu Chen, Bohan Wang, Chunhua Wang
In this paper, we consider the following Hardy-type mean field equation \[ \left\{ {\begin{array}{*{20}{c}} { - Îu-\frac{1}{(1-|x|^2)^2} u = λe^u}, & {\rm in} \ \ B_1,\\ {\ \ \ \…
math.AP2025
Quantization property of n-Laplacian mean field equation and sharp Moser-Onofri inequality
Lu Chen, Guozhen Lu, Bohan Wang
In this paper, we are concerned with the following -Laplacian mean field equation \[ \left\{ {\begin{array}{*{20}{c}} { - Î_n u = λe^u} & {\rm in} \ \ Ω, \\ {\ \ \ \ u = 0} &…
math.AP2025
Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
Lu Chen, Guozhen Lu, Hanli Tang +1
In this paper, we are concerned with the optimal asymptotic lower bound for the stability of Sobolev inequality on the Heisenberg group. We first establish the optimal local stabil…