Poluboyarova N.M. Some estimates of G-capacity on extremal surfaces and its applications

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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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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. In this paper we consider G-capacity of condenser on the extremal surfaces of the area type functional. We obtain the feature of stability and instability for extremal surfaces with the help estimates of G-capacity.

Key words: area type functional, functional variation, extremal surface, stable (instable) extremal surface, G-capacity of condenser.

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Some estimates of G-capacity on extremal surfaces and its applications 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. №2 (15) 2011 pp. 63-74

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