Global compactness for a class of quasi-linear elliptic problems

TL;DR

This paper establishes a global compactness result for Palais-Smale sequences related to a class of quasi-linear elliptic equations on exterior domains, advancing understanding of solution behaviors in such settings.

Contribution

It provides a new global compactness theorem specifically for quasi-linear elliptic problems on exterior domains, which was previously unaddressed.

Findings

Proved a global compactness result for Palais-Smale sequences.

Extended compactness theory to quasi-linear elliptic equations on exterior domains.

Enhanced analytical tools for studying solutions in unbounded domains.

Abstract

We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.