The weak maximum principle for solutions of degenerate elliptic equations with lower order terms

TL;DR

This paper establishes a weak maximum principle for subsolutions of degenerate elliptic equations with lower order terms, extending existing existence results to include maximum principle properties.

Contribution

It introduces a weak maximum principle for degenerate elliptic operators with lower order terms, building on recent existence results by the authors and collaborators.

Findings

Proves a weak maximum principle for degenerate elliptic equations.

Extends maximum principle theory to operators with degeneracy and lower order terms.

Builds on recent existence results for such operators.

Abstract

We prove a weak maximum principle for subsolutions of a degenerate, linear, second order elliptic operator with lower order terms, building on the existence results recently proved by the authors and \c{C}etin, Dal and Zeren.