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math.AP2024
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}} { - Δ_n u = λe^u} & {\rm in} \ \ Ω, \\ {\ \ \ \ u = 0} &\ {…
math.AP2024
Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants
Lu Chen, Guozhen Lu, Hanli Tang
Recently, Dolbeault-Esteban-Figalli-Frank-Loss [20] established the optimal stability of the first-order -Sobolev inequality with dimension-dependent constant. Subsequently, C…