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Mean Value Property Related to the Finsler p-Laplacian

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  • Benyam Mebrate

Abstract

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

Suggested Citation

  • Benyam Mebrate, 2026. "Mean Value Property Related to the Finsler p-Laplacian," Abstract and Applied Analysis, Hindawi, vol. 2026, pages 1-6, February.
    • Handle: RePEc:hin:jnlaaa:3031515
    DOI: 10.1155/aaa/3031515
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