Liguang Liu

collaborators

2 papers

math.CA2026

Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds

Liguang Liu, Yuhua Sun, Suqing Wu

Let $p_{1}, p_{2} \in (1, \infty)$ and $M = M_{1} \times M_{2}$ be the product of two geodesically complete Riemannian manifolds. In this paper, the authors first develop an anisotropic potential…

math.AP2025

Nontrivial nonnegative weak solutions to fractional $p$ -Laplace inequalities

Liguang Liu

For the nonlocal quasilinear fractional $p$ -Laplace operator $(- I^)_{p}^{s}$ with $s \in (0, 1)$ and $p \in (1, \infty)$ , we investigate the nonexistence and existence of nontrivial nonnega…

Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds

Nontrivial nonnegative weak solutions to fractional p-Laplace inequalities

Nontrivial nonnegative weak solutions to fractional $p$ -Laplace inequalities