Geodesic
Stability of $n$-dimensional extremal surfaces of revolution
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 106-109

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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. 
@article{IVM_2011_2_a10,
     author = {N. M. Poluboyarova},
     title = {Stability of $n$-dimensional extremal surfaces of revolution},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {106--109},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_2_a10/}
}
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N. M. Poluboyarova. Stability of $n$-dimensional extremal surfaces of revolution. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 106-109. http://geodesic.mathdoc.fr/item/IVM_2011_2_a10/