在N小于或等于3维的谐波半径的严格凹面上

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02126-7

Pierre Cardaliaguet , Rabah Tahraoui

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引用次数: 1

摘要

在本注释中，给出了RN的开放凸域中N大于或等于3的调和半径的严格凹性的结果。给出了Robin函数在有界凸域上的严格凸性和调和中心的唯一性。

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Sur la stricte concavité du rayon harmonique en dimension N⩾3

In this Note a result on the strict concavity of the harmonic radius in open convex domains of $R^{N}$ , for N⩾3, is given. It implies the strict convexity of the Robin function and the uniqueness of the harmonic center in bounded convex domains.

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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

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