Maximum principles for a class of nonlinear second order elliptic differential equations

1998/04/25 by Giovanni Porru, Porru, Giovanni, Amdeberhan, Tewodros +2
Computer Science · Mathematics · #35B50 #35J25 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/9804125

openalex publication_date 1998/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate maximum principles for functionals defined on solutions to special partial differential equations of elliptic type, extending results by Payne and Philippin. We apply such maximum principles to investigate one overdetermined problem.

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