Compact anisotropic stable hypersurfaces with free boundary in convex solid cones
Metadatos
Mostrar el registro completo del ítemEditorial
Springer Nature
Materia
Convex solid cone Anisotropic area Free boundary Stable hypersurface
Fecha
2023-07-03Referencia bibliográfica
Rosales, C. Compact anisotropic stable hypersurfaces with free boundary in convex solid cones. Calc. Var. 62, 185 (2023). [https://doi.org/10.1007/s00526-023-02528-0]
Patrocinador
Grant PID2020-118180GB-I00 funded by MCIN/AEI/10.13039/501100011033; Junta de Andalucía grant PY20-00164Resumen
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.