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  "body": "\n## Summary\n\nAn admissible function of a variational problem is a function that is allowed to compete for the minimum.\nIt must lie in the domain of the functional and satisfy every constraint of the problem, such as boundary values or a fixed length.\nThe set of admissible functions fixes the problem as much as the functional does: a change of the class can change whether a minimiser exists.\n\n## Explanations\n\n### L1 human\n\nBefore looking for the best curve, one must say which curves are allowed.\nIn a problem with fixed ends, only smooth enough curves that start and end at the given points take part.\nFor example, with ends $y(0) = 0$ and $y(1) = 1$, the curves $y = x$ and $y = x^2$ are admissible, while $y = 2x$ is not, since it ends at height $2$.\n",
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