Is there a solution to the brachistochrone problem where the solution is non-differentiable everywhere (angular point)? The Euler-Lagrange method fails if the first or second derivative of the solution do not exist.
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$\begingroup$ Related : (1) What is the position as a function of time for a mass falling down a cycloid curve?. (2) Another Solution To Brachistochrone Problem. (3) Brachistochrone to a vertical line. $\endgroup$– FrobeniusCommented Jul 12, 2023 at 2:52
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$\begingroup$ Related: physics.stackexchange.com/q/574337/2451 $\endgroup$– Qmechanic ♦Commented Jul 12, 2023 at 6:59
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