Robin eigenvalues on domains with peaks

Add time:08/23/2019    Source:sciencedirect.com

Let Ω⊂RN, N≥2, be a bounded domain with an outward power-like peak which is assumed not too sharp in a suitable sense. We consider the Laplacian u↦−Δu in Ω with the Robin boundary condition ∂nu=αu on ∂Ω with ∂n being the outward normal derivative and α>0 being a parameter. We show that for large α the associated eigenvalues Ej(α) behave as Ej(α)∼−ϵjαν, where ν>2 and ϵj>0 depend on the dimension and the peak geometry. This is in contrast with the well-known estimate Ej(α)=O(α2) for the Lipschitz domains.

We also recommend Trading Suppliers and Manufacturers of PEAK E (cas 132685-02-0). Pls Click Website Link as below: cas 132685-02-0 suppliers

Prev:Effect of NPC-14686 (FMOC-L-HOMOPHENYLALANINE (cas 132684-59-4)) on intracellular Ca2+ levels in human hepatoma cells
Next:Empirical researchThe relationship between derived mutually entailed relations and the function of challenging behavior in children with autism: Comparing the PEAK-E-PA and the QABF)