6533b822fe1ef96bd127ce69
RESEARCH PRODUCT
An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit
Carlo NitschCristina TrombettiBarbara Brandolinisubject
Convex hullConvex analysisp-Laplace operatorGeneral MathematicsMathematical analysisConvex setDirichlet eigenvalueSubderivativeMathematics::Spectral TheoryCombinatoricsupper boundsSettore MAT/05 - Analisi MatematicaConvex polytopeConvex combinationAbsolutely convex setIsoperimetric inequalityMathematicsdescription
We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-03-24 |