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Q83Section II (Mathematics)83 of 190

The Euler equation for a Dirichlet-type surface functional is Poisson's equation

Any function that gives an extremum of the functional ∬D{zx2+zy2+2zf(x,y)}dx dy\iint_D\{z_x^2+z_y^2+2zf(x,y)\}dx\,dy must satisfy:

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