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首页> 外文期刊>Siberian Mathematical Journal >ON STABLE EXTREMALS OF THE POTENTIAL ENERGY FUNCTIONAL
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ON STABLE EXTREMALS OF THE POTENTIAL ENERGY FUNCTIONAL

机译：ON STABLE EXTREMALS OF THE POTENTIAL ENERGY FUNCTIONAL

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摘要

We study the problem of the stability of the extremals of the potential energy functional. By the stability of an extremal surface we mean the sign-definiteness of its second variation. For estimating the second variation of the functional, we use the properties of the eigenvalues of symmetric matrices. Also, we prove an analog of Alexandrov's Theorem on the variational property of a sphere.

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