Poluboyarova N.M. Features of stable and instable extremal surface of rotation
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Poluboyarova Natalia Mikhailovna
Candidate of Physics and Mathematics, Senior Lecturer, Chair of Computer Science and Experimental Mathematics, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Abstract. In this paper we consider the extremal surfaces of rotation of the area type functional, for which we obtain the first and second variations. We proof the feature of stability and instability for n-dimension rotation surfaces with help of the definition and in the terms special integrals.
Key words: area type functional, functional variation, extremal surface, stable (instable) extremal surface, p-minimal surface.
Features of stable and instable extremal surface of rotation by Poluboyarova N.M. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №1 (14) 2011 pp. 60-75
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