TY  - JOUR
A1  - Iacopetti, Alessandro
A1  - Pacella, Filomena
A1  - Weth, Tobias
T1  - Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones
T2  - Archive for rational mechanics and analysis
N2  - In this work we address the question of the existence of nonradial domains inside a nonconvex cone for which a mixed boundary overdetermined problem admits a solution. Our approach is variational, and consists in proving the existence of nonradial minimizers, under a volume constraint, of the associated torsional energy functional. In particular we give a condition on the domain D on the sphere spanning the cone which ensures that the spherical sector is not a minimizer. Similar results are obtained for the relative isoperimetric problem in nonconvex cones.
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/69453
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-694532
SN  - 1432-0673
N1  - Open access funding provided by Universitá degli Studi di Roma La Sapienza within the CRUI-CARE Agreement.
N1  - Research partially supported by Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)
VL  - 245
IS  - 2
SP  - 1005
EP  - 1058
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -