6533b86efe1ef96bd12cb3a9

RESEARCH PRODUCT

A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere

Francesco ChiacchioBarbara BrandoliniRafael D. Benguria

subject

isoperimetric inequalitiesPure mathematicsNeumann eigenvaluesApplied MathematicsGeneral MathematicsHarmonic meanOperator (physics)Mathematics::Spectral TheoryMathematics - Analysis of PDEsLaplace–Beltrami operatorLaplace-Beltrami operatorSettore MAT/05 - Analisi MatematicaFOS: MathematicssphereIsoperimetric inequalityEigenvalues and eigenvectorsAnalysis of PDEs (math.AP)Mathematics

description

Here, we prove an isoperimetric inequality for the harmonic mean of the first [Formula: see text] non-trivial Neumann eigenvalues of the Laplace–Beltrami operator for domains contained in a hemisphere of [Formula: see text].

yearjournalcountryeditionlanguage
2018-09-15
http://arxiv.org/abs/1809.05695