3 papers
math.AP2026
The -Laplace equation with a gradient term II: classification in the second critical case
Tian Wu, Jin Yan, Hua Zhu
Let and . We classify positive, locally bounded weak solutions of \[-Δ_m u=u^p|Du|^q\quad\text{in }\mathbb R^n,\qquad p=\frac{m-q}{n-m}\left(n+\frac{q}{m-1-q}\righ…
math.AP2026
Liouville theorem for a class of p-Laplace type equations on manifolds
Xi-Nan Ma, Wei Wei, Tian Wu +1
We study a class of -Laplace equations on a closed -dimensional Riemannian manifold with . For $1<p<2…
math.AP2026
Liouville Theorem for -Laplace Equations
Yang Zhou, Hua Zhu
We employ the vector field method to establish a Liouville-type theorem for a class of \((p,q)\)-Laplace equations in the Euclidean space \(\mathbb{R}^n\). By modifying the exponen…