6533b7d4fe1ef96bd1263255
RESEARCH PRODUCT
Sharp estimates for eigenfunctions of a Neumann problem
Francesco ChiacchioCristina TrombettiBarbara Brandolinisubject
Neumann eigenvaluesApplied MathematicsMathematical analysisSymmetrizationMathematics::Spectral TheoryNeumann seriessymbols.namesakeVon Neumann algebraSettore MAT/05 - Analisi MatematicaBounded functionNeumann boundary conditionsymbolsSymmetrizationAbelian von Neumann algebraIsoperimetric inequalityAffiliated operatorAnalysisMathematicsdescription
In this paper we provide some bounds for the eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of R^n. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-10-30 |