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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 $$-Δ_p^H u=-\operatorname{div}(a(\nabla u))=f(u),\quad\text{in }\mathbb{R}^n,…