Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations

2021/08/12 by Pablo Blanc, Fernando Charro, Blanc, Pablo +5 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2108.05831

openalex publication_date 2021/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and supremum, of linear operators. The families of equations that we consider include well-known operators such as Pucci, Issacs, and k-Hessian operators.

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