On the Analyticity of Critical Points of the Generalized Integral Menger Curvature in the Hilbert Case

Daniel Steenebrügge, Nicole Vorderobermeier

We prove the analyticity of smooth critical points for generalized integral Menger curvature energies ${\mathrm{intM}}^{(p,2)}$, with $p\in (\frac{7}{3},\frac{8}{3})$, subject to a fix…