THE SECOND DERIVATIVE OF THE ENERGY FUNCTIONAL

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 2,  2012, pp.191-198
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.2.191
Title & Authors
THE SECOND DERIVATIVE OF THE ENERGY FUNCTIONAL
Kim, Hwa-Jeong;

Abstract
Minimal surfaces with given boundaries are the solutions of Plateau's problem. In studying the calculus of variations for the minimal surfaces, the functional $\small{{\varepsilon}}$, corresponding to the energy of surfaces, is introduced in [Ki09]. In this paper we derive a formula for the second derivative of $\small{{\varepsilon}}$, which is necessary for further theories of the calculus of variations.
Keywords
Minimal surfaces;Plateau's problem;
Language
English
Cited by
1.
A NOTE ON THE JACOBI FIELDS ON MANIFOLDS, Honam Mathematical Journal, 2016, 38, 2, 385
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