Data di Pubblicazione:
2018
Citazione:
Some overdetermined problems related to the anisotropic capacity / C. Bianchini, G. Ciraolo, P. Salani. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 465:1(2018), pp. 211-219. [10.1016/j.jmaa.2018.04.075]
Abstract:
We characterize the Wulff shape of an anisotropic norm in terms of solutions to overdetermined problems for the Finsler p-capacity of a convex set Omega subset of R-N, with 1 < p < N. In particular we show that if the Finsler p-capacitary potential u associated to 0 has two homothetic level sets then 0 is Wulff shape. Moreover, we show that the concavity exponent of u is q = -(p - 1)/(N - p) if and only if Omega is Wulff shape.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Wulff shape; Overdetermined problems; Capacity; Concavity exponent
Elenco autori:
C. Bianchini, G. Ciraolo, P. Salani
Link alla scheda completa: