Work

On a Higher-Integrability Estimate for Laplacians of Convex Solutions to the Monge-Ampère Equation

Year: 2026

Type: article

Abstract: A maximum principle for certain strictly convex functions belonging to \(W_{\mathrm{loc}}^{2,1}(\Omega)\cap C^1(\Omega)\) is established and then applied to obtain a \(W_{\mathrm{loc}}^{2,1+\varepsilon}(\Omega)\)-estimate.

Source: Analysis in Theory and Applications

DOI: 10.4208/ata.oa-2026-0054

Author: Diego Maldonado

Institution: Kansas State University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Simons Foundation

OpenAlex ID: W7213579808

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