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We examine the phase dependent Helfrich energy and show an Euler-Lagrangeequation on the phase seperation line. This result has already been observed bye.g. J\"ulicher-Lipowski and later Elliot-Stinner. Here we are able to lowerthe regularity assumption for this result down to $C^{1,1}$ for the seperationline. In the proof we employ a carefully choosen test function utilising thesigned distance function.

Lower regularity assumption for an Euler-Lagrange equation on the contact line of the phase dependent Helfrich energy