Beltrami identity
Special case of the Euler-Lagrange equations / From Wikipedia, the free encyclopedia
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The Beltrami identity, named after Eugenio Beltrami, is a special case of the Euler–Lagrange equation in the calculus of variations.
The Euler–Lagrange equation serves to extremize action functionals of the form
where and are constants and .[1]
If , then the Euler–Lagrange equation reduces to the Beltrami identity,