Boundary homogenization for a triharmonic intermediate problem

Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico (2018). Boundary homogenization for a triharmonic intermediate problem. Mathematical methods in the applied sciences, 41(3), pp. 979-985. Wiley 10.1002/mma.4025

Text Arrieta_et_al-2018-Mathematical_Methods_in_the_Applied_Sciences.pdf - Published Version Restricted to registered users only Available under License Publisher holds Copyright. Download (180kB)

We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N‐dimensional Euclidean space. We study its spectral behaviour when the boundary of the domain undergoes a perturbation of oscillatory type. We identify the appropriate limit problems that depend on whether the strength of the oscillation is above or below a critical threshold. We analyse in detail the critical case that provides a typical homogenization problem leading to a strange boundary term in the limit problem.

Interest & Impact

Downloads

2 since deposited on 15 May 2019
0 in the past 12 months

Citations

5 Citations in Web of Science ®
6 Citations in Scopus

Search

in Google Scholar™

Services

Actions (login required)

Edit item

Actions (login required)

Edit item