Superposition of p-superharmonic functions

TL;DR

This paper introduces the Dominative p-Laplace Operator, a sublinear operator related to the p-Laplacian, and explains how superposition principles apply within this context.

Contribution

It presents the Dominative p-Laplace Operator and clarifies the superposition principle for p-Laplace equations, a novel approach in nonlinear potential theory.

Findings

Introduction of the Dominative p-Laplace Operator

Explanation of superposition principle in p-Laplace equations

Establishment of sublinearity property

Abstract

The Dominative $p$-Laplace Operator is introduced. This operator is a relative to the $p$-Laplacian, but with the distinguishing property of being sublinear. It explains the superposition principle in the $p$-Laplace Equation.