Investigates the mean value property of functions linked to the Finsler p-Laplacian equation, indicating its geometric implications.
In this paper, we investigate the mean value property of a function associated with the solution of homogeneous Finsler p ‐Laplacian equation. For this purpose, we present the relationship between the volume of a Finsler ball and the surface area of a Finsler sphere, and the fundamental solution of the partial differential equation involving the Finsler p ‐Laplacian operator and a Dirac delta function on the right‐hand side. MSC2020 Classification: 35A08, 35B05,35J60, 53C60
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Benyam Mebrate (2026) studied this question.
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