Work

Gradient estimates for a class of p-Laplace equations on Riemannian manifolds

Year: 2026

Type: article

Abstract: By virtue of the Nash-Moser iteration, we obtain local gradient estimates of positive weak solutions to the weighted p -Laplace equation ( p − 1 ) p − 1 Δ p , f u + a u p − 1 ln ⁡ u p − 1 = 0 defined on a complete smooth metric measure space under the condition that the m -Bakry-Émery Ricci curvature has a lower bound, where p > 2 and a is a negative constant. As applications, Liouville type theorems for solutions to the above equation are achieved.

Source: Differential Geometry and its Applications

DOI: 10.1016/j.difgeo.2026.102349

Authors: Guangyue Huang, Jingxu Liu, Zhen Wang

Institution: Henan Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,740

Funders: National Natural Science Foundation of China, Natural Science Foundation of Henan Province, National Natural Science Foundation of China-Henan Joint Fund