@misc{10481/83044,
year = {2023},
month = {7},
url = {https://hdl.handle.net/10481/83044},
abstract = {We consider a convex solid cone C in R^{n+1} with vertex at the origin and boundary smooth away from 0. Our main result shows that a compact two-sided hypersurface Sigma immersed in C with free boundary away from 0 and minimizing, up to second order, an anisotropic area functional under a volume constraint is contained in a Wulff-shape. The technique of proof also works for a non-smooth convex cone C provided the boundary of Sigma is away from the singular set of the boundary of C.},
organization = {Grant PID2020-118180GB-I00 funded by MCIN/AEI/10.13039/501100011033},
organization = {Junta de Andalucía grant PY20-00164},
publisher = {Springer Nature},
keywords = {Convex solid cone},
keywords = {Anisotropic area},
keywords = {Free boundary},
keywords = {Stable hypersurface},
title = {Compact anisotropic stable hypersurfaces with free boundary in convex solid cones},
doi = {10.1007/s00526-023-02528-0},
author = {Rosales Lombardo, Manuel César},
}