On the Dirichlet problem for solutions of a restricted nonlinear mean value property

2014/11/14 by Ángel Arroyo, Arroyo, Ángel, José G. Llorente +1 · 2 citations
Computer Science · Economics, Econometrics and Finance · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #advanced mathematical theories #math.AP

paper · pdf · doi:10.48550/arxiv.1411.4034

openalex publication_date 2014/11/14 · arxiv created 2014/11/17 · arxiv updated 2014/11/18 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

We give an analytic proof of the solution of Dirichlet Problem for continous functions satisfying a nonlinear mean value problem related to the p-laplace operator and certain stochastic games.

Cited by

• On a class of singular measures satisfying a strong annular decay condition
• A priori Hölder and Lipschitz regularity for generalized p-harmonious functions in metric measure spaces

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