To find the maximum value on an interval, you need to take the derivative and find all relative maximums/minimums and also check the endpoints.
There are many examples of minimal functions/surfaces throught internet (Minimal Surfaces -- from Wolfram MathWorld). And i even found smth like parametrization of ALL minimal surfaces (Minimal Surface -- from Wolfram MathWorld). But i cannot get properties of such space of minimal functions. As, let say, subspace of integrable functions in . I'm interest in next questions. Will be this space infinite-dimensional (it's trivial, yes - there are many pairs of analytic and meromorphic functions).
Will it be connected in topological space?