An overdetermined problem of the biharmonic operator on Riemannian manifolds

An overdetermined problem of the biharmonic operator on Riemannian manifolds

Abstract Let ( M , g ) $(M,g)$ be an n-dimensional complete Riemannian manifold with nonnegative Ricci curvature. In this paper, we consider an overdetermined problem of the biharmonic operator on a bounded smooth domain Ω in M. We deduce that the overdetermined problem has a solution only if Ω is i...

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Bibliografiske detaljer
Main Authors: Fan Chen, Qin Huang, Qihua Ruan
Format: Article
Sprog:English
Udgivet: SpringerOpen 2023-02-01
Serier:Boundary Value Problems
Fag:
Biharmonic operator
Overdetermined problem
Maximum principle
Online adgang:https://doi.org/10.1186/s13661-023-01701-w

Internet

https://doi.org/10.1186/s13661-023-01701-w

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