3 papers
math.AP2026
Anisotropic gradient rearrangement of BV functions and applications
Gloria Paoli, Yabo Yang
In this paper, we introduce a symmetrization technique for the distributional gradient of a function of bounded variation in the anisotropic setting. This generalizes the result ob…
math.AP2025
Classification of positive solutions of critical anisotropic Sobolev equation without the finite volume constraint
Lu Chen, Tian Wu, Jin Yan +1
In this paper, we classify all positive solutions of the critical anisotropic Sobolev equation \begin{equation}\label{0.1} -Î^{H}_{p}u = u^{p^{*}-1}, \ \ x\in \mathbb{R}^n \end{eq…
math.AP2025
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*} -Î_{p}u = \frac{u^{p^{*}_s-1}}{|x|^{s}}, \ \ x\in \mathbb{R}^n \end{equation*} where $p^…