@misc{10481/110048,
year = {2022},
url = {https://hdl.handle.net/10481/110048},
abstract = {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 α-singular minimal hypersurfaces considered as hypersurfaces in weighted manifolds. If α < 0 and the hypersurface is a graph, then we prove that the hypersurface is stable. If α > 0 and the surface is cylindrical, we give numerical evidences of the instability of long cylindrical α-singular minimal surfaces.},
publisher = {American Institute of Mathematical Sciences},
title = {Plateau-Rayleigh instability of singular minimal surfaces},
doi = {10.3934/cpaa.2022086},
author = {López Camino, Rafael},
}