Plateau-rayleigh instability of singular minimal surfaces
Plateau-rayleigh instability of singular minimal surfaces
<p style='text-indent:20px;'>We prove a Plateau-Rayleigh criterion of instability for singular minimal surfaces, providing explicit bounds on the amplitude and length of the surface. More generally, we study the stability of <inline-formula><tex-math id="M1">\begin{document}$ \alpha $\end{document}</tex-math></inline-formula>-singular minimal hypersurfaces considered as hypersurfaces in weighted manifolds. If <inline-formula><tex-math id="M2">\begin{document}$ \alpha&lt;0 $\end{document}</tex-math></inline-formula> and the hypersurface …