3 papers
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 to a class of Laplace equations with a gradient term
Jingbo Dou, Benfeng Shi, Tian Wu +1
In this paper, we investigate positive solutions to a class of Laplace equations with a gradient term on a complete, connected, and noncompact Riemannian manifold \((M^n,g)\) with…
math.AP2025
Liouville theorems for anisotropic -Laplace equations with a semilinear term
Weizhao Liang, Tian Wu, Jin Yan
In this paper, we investigate Liouville theorems for solutions to the anisotropic -Laplace equation $$-Î_p^H u=-\operatorname{div}(a(\nabla u))=f(u),\quad\text{in }\mathbb{R}^n…