In this paper we consider different variants of the ABP estimate in unbounded domains, which is a basic tool to study qualitative properties of solutions of elliptic partial differential equations. We will discuss two kinds of results: one based on the size of drift and geometric properties of domains, and the other one on the direction of drift.
ABP Estimates for Elliptic PDEs with Drift in Unbounded Domains
Antonio Vitolo
2026
Abstract
In this paper we consider different variants of the ABP estimate in unbounded domains, which is a basic tool to study qualitative properties of solutions of elliptic partial differential equations. We will discuss two kinds of results: one based on the size of drift and geometric properties of domains, and the other one on the direction of drift.File in questo prodotto:
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