The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity

TL;DR

This paper investigates how adding certain lower order terms to an elliptic equation with degenerate coercivity can enhance the regularity of its solutions, providing insights into the regularizing effects of these terms.

Contribution

It demonstrates that specific lower order terms can improve solution regularity in degenerate elliptic equations, a novel insight in the study of such PDEs.

Findings

Lower order terms induce regularization of solutions

Presence of these terms improves solution smoothness

Results applicable to degenerate elliptic PDEs

Abstract

In this article we study an elliptic problem with degenerate coercivity. We will show that the presence of some lower order terms has a regularizing effect on the solutions.