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math.AP2023
Classification of positive solutions of Hardy-Sobolev equation without the finite volume constraints
Lu Chen, Yabo Yang
In this paper, we are concerned with the critical Hardy-Sobolev equation \begin{equation*} -Δ_{p}u = \frac{u^{p^{*}_s-1}}{|x|^{s}}, \ \ x\in \mathbb{R}^n \end{equation*} where $p^{…
math.AP2023
Optimal concentration level of anisotropic Trudinger-Moser functionals on any bounded domain
Lu Chen, Rou Jiang, Maochun Zhu
Let be convex and homogeneous of degree , its polar represent a finsler metric on , and be any bounded open set in . In this pape…