Diffeomorphism-invariant properties for quasi-linear elliptic operators

TL;DR

This paper identifies properties of quasi-linear elliptic equations that remain unchanged under certain diffeomorphisms, linking existence theories for degenerate and non-degenerate cases.

Contribution

It introduces diffeomorphism-invariant properties for quasi-linear elliptic operators, bridging different coerciveness regimes.

Findings

Invariant properties under diffeomorphisms are characterized.

Connection established between degenerate and non-degenerate coerciveness.

Potential applications in existence theory for elliptic equations.

Abstract

For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.