A variational principle for nonlinear local pressure

TL;DR

This paper introduces a new concept of nonlinear local topological pressure, establishes a variational principle for it, and provides multiple equivalent characterizations using cover-based methods.

Contribution

It presents a novel definition of nonlinear local topological pressure and proves a variational principle along with various characterizations.

Findings

Established a variational principle for nonlinear local pressure

Provided multiple equivalent cover-based characterizations

Extended the theory of topological pressure to nonlinear local settings

Abstract

In this paper, we introduce a concept of nonlinear local topological pressure defined via open covers and establish a corresponding variational principle. Furthermore, we provide multiple equivalent characterizations of nonlinear pressure using different cover-based approaches.