Examples for uniformly monotone operators arising in nonlinear elliptic and parabolic problems

TL;DR

This paper presents examples of uniformly monotone operators in nonlinear elliptic and parabolic problems, including classical and less known cases, highlighting their relevance for applications.

Contribution

It introduces new examples of uniformly monotone operators beyond the classical p-Laplacian, expanding the toolkit for nonlinear PDE analysis.

Findings

Examples of uniformly monotone operators are provided.

Some operators have potential applications in nonlinear PDEs.

The paper broadens understanding of operator classes in elliptic and parabolic problems.

Abstract

We show some examples for uniformly monotone operators arising in weak formulation of nonlinear elliptic and parabolic problems. Besides the classical $p$-Laplacian some other less known examples are given which might be of interest because of applications.