Data di Pubblicazione:
2019
Citazione:
On Serrin’s overdetermined problem in space forms / G. Ciraolo, L. Vezzoni. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 159:3-4(2019), pp. 445-452. [10.1007/s00229-018-1079-z]
Abstract:
We consider Serrin's overdetermined problem for the equation v+nKv=-1 in space forms, where K is the curvature of the space, and we prove a symmetry result by using a P-function approach. Our approach generalizes the one introduced by Weinberger to space forms and, as in the Euclidean case, it provides a short proof of the symmetry result which does not make use of the method of moving planes.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Mathematics (all)
Elenco autori:
G. Ciraolo, L. Vezzoni
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