This article is cited in 3 papers

Brief communications

Stability of $n$-dimensional extremal surfaces of revolution

N. M. Poluboyarova

Chair of Computer Science and Experimental Mathematics, Volgograd State University, Volgograd, Russia

Abstract: In this paper we consider extremal surfaces of revolution of area-type functionals. For the latter we calculate the first and second variations. We prove stability and instability criteria for $n$-dimensional surfaces of revolution, based on their definition and in terms of special integrals.

Keywords: area-type functional, functional variation, extremal surface, stable (unstable) extremal surface.

UDC: 517.972+514.772

Presented by the member of Editorial Board: V. M. Miklyukov
Received: 25.09.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:2, 93–95

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