The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
type: Item
instance of: scholarly article
title: The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
zbMATH Open document ID: 1229.35156
author: Dorin Bucur
author: Filippo Gazzola
published in: Milan Journal of Mathematics
publication date: 2011-10-19T00:00:00Z
review text: The authors consider the Steklov problem for the linear biharmonic equation. The main result of the paper under review is the proof of the existence of an optimal domain which minimizes the first Steklov eigenvalue among convex domains of given measure.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 5960510
zbMATH Keywords: biharmonic operator
zbMATH Keywords: Steklov eigenvalue
zbMATH Keywords: shape optimization
MaRDI profile type: Publication
full work available at URL: s00032-011-0143-x
OpenAlex ID: W2009706802
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DOI: 10.1007/S00032-011-0143-X
description: scientific article; zbMATH DE number 5960510