A Liouville type theorem for special Lagrangian Equations with constraints

TL;DR

This paper establishes a Liouville type theorem for special Lagrangian equations under specific convexity and growth conditions, contributing to the understanding of solutions' behavior in geometric analysis.

Contribution

It introduces a Liouville theorem for special Lagrangian equations with new convexity and growth constraints, extending previous results in geometric PDEs.

Findings

Liouville theorem proven under convexity assumptions

Results apply to solutions with restricted linear growth

Advances understanding of special Lagrangian equations

Abstract

We derive a Liouville type result for special Lagrangian equations with certain "convexity" and restricted linear growth assumptions on the solutions.