A general asymptotic decay lemma for elliptic problems

TL;DR

This paper introduces a broad asymptotic decay lemma applicable to elliptic problems, providing a unified approach to estimate the decay behavior of solutions in various contexts.

Contribution

It presents a general decay lemma for elliptic equations, extending previous specific results to a wide range of problems including minimal surface equations.

Findings

Provides lower growth estimates for solutions of the minimal surface equation.

Establishes a versatile decay lemma applicable to multiple elliptic problems.

Abstract

We prove a general asymptotic decay lemma which is applicable in various contexts. As an example, the general theorem is shown to give lower growth estimates for entire and exterior solutions of the minimal surface equation.