Honam Mathematical Journal (호남수학학술지)

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THE SECOND DERIVATIVE OF THE ENERGY FUNCTIONAL

  • Received : 2012.02.09
  • Accepted : 2012.02.24
  • Published : 2012.06.25
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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 ${\varepsilon}$, corresponding to the energy of surfaces, is introduced in [Ki09]. In this paper we derive a formula for the second derivative of ${\varepsilon}$, which is necessary for further theories of the calculus of variations.

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References

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