Stability of Lewis and Vogel's result

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dc.creatorPreiss, D
dc.creatorToro, T.
dc.date2004-08-11
dc.date.accessioned2026-07-07T05:11:12Z
dc.date.available2026-07-07T05:11:12Z
dc.descriptionLewis and Vogel proved that a bounded domain whose Poisson kernel is constant and whose surface measure to the boundary has at most Euclidean growth is a ball. In this paper we show that this result is stable under small perturbations. In particular a bounded domain whose Poisson kernel is smooth and close to a constant, and whose surface measure to the boundary has at most Euclidean growth is a smooth deformation of a ball.
dc.description35 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0408145
dc.identifierhttp://arxiv.org/abs/math/0408145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72161
dc.subjectAnalysis of PDEs
dc.titleStability of Lewis and Vogel's result
dc.typetext

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