6533b852fe1ef96bd12aae93

RESEARCH PRODUCT

A rigidity problem on the round sphere

Giulio CiraoloLuigi Vezzoni

subject

Mathematics - Differential GeometryPure mathematicsEuclidean spaceApplied MathematicsGeneral Mathematics010102 general mathematicsMathematics::Analysis of PDEsComputer Science::Numerical Analysis01 natural sciencesOverdetermined systemrotationally symmetric spaceMathematics - Analysis of PDEsRigidity (electromagnetism)rigidityDifferential Geometry (math.DG)Settore MAT/05 - Analisi Matematica0103 physical sciencesRound sphereFOS: MathematicsPrimary 35R01 35N25 Secondary: 53C24 58J05Overdetermined PDE010307 mathematical physics0101 mathematicsAnalysis of PDEs (math.AP)Mathematics

description

We consider a class of overdetermined problems in rotationally symmetric spaces, which reduce to the classical Serrin's overdetermined problem in the case of the Euclidean space. We prove some general integral identities for rotationally symmetric spaces which imply a rigidity result in the case of the round sphere.

yearjournalcountryeditionlanguage
2015-12-24
10.1142/s0219199717500018http://hdl.handle.net/2318/1610395