Work

On positive solutions of biharmonic elliptic inequalities on Riemannian manifolds

Year: 2024

Type: article

Abstract: We investigate the existence and nonexistence of positive solutions to biharmonic elliptic inequalities on different domains of manifolds, including exterior domains and whole spaces. Using Green function and volume growth conditions, we establish the critical exponent for the existence and nonexistence of positive solutions to such biharmonic problem.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2024089

Authors: Yuhua Sun, Yadong Zheng

Institution: Nankai University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G8516161433