On some Liouville theorems for p-Laplace type operators

TL;DR

This paper investigates Liouville theorems for p-Laplacian operators, extending classical results from the Laplacian case to nonlinear p-Laplacian operators, providing new insights into their properties.

Contribution

It establishes Liouville type theorems for p-Laplacian operators, generalizing known results from the linear Laplacian case to nonlinear operators.

Findings

Liouville theorems hold for p-Laplacian operators under certain conditions

Extension of classical Laplacian results to nonlinear p-Laplacian operators

Provides foundational results for further studies on nonlinear elliptic operators

Abstract

The goal of this note is to consider Liouville type theorem for p-Laplacian type operators. In particular guided by the Laplacian case one establishes analogous results for the p-Laplacian and operators of this type.