An inequality of type sup+inf on $S_4$ for the Paneitz operator

TL;DR

This paper establishes a new inequality involving the supremum and infimum of functions on the 4-sphere related to the Paneitz operator, contributing to the understanding of geometric analysis on manifolds.

Contribution

It introduces a novel sup+inf inequality for the Paneitz operator on the 4-sphere, expanding the toolkit for geometric inequalities in conformal geometry.

Findings

Proves a new inequality involving sup+inf for the Paneitz operator on $S_4$

Provides insights into the behavior of solutions to Paneitz-related equations

Enhances understanding of conformal invariants on four-dimensional spheres

Abstract

We give a sup+inf inequality on $S_4$ for Paneitz operator.