Maximization and minimization in problems involving the bi-Laplacian
type: Item
instance of: scholarly article
title: Maximization and minimization in problems involving the bi-Laplacian
zbMATH Open document ID: 1209.35054
author: Claudia Anedda
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2011-03-14T00:00:00Z
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 35J35
zbMATH DE Number: 5865233
zbMATH Keywords: bi-Laplacian
zbMATH Keywords: energy integral
zbMATH Keywords: optimization
zbMATH Keywords: rearrangements
MaRDI profile type: Publication
full work available at URL: s10231-010-0142-5
OpenAlex ID: W1980024510
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: A remark on comparison results via symmetrization
cites work: Q3771040
cites work: Rearrangements of functions, maximization of convex functionals, and vortex rings
cites work: Variational problems on classes of rearrangements and multiple configurations for steady vortices
cites work: Maximisation and minimisation on classes of rearrangements
cites work: Optimization problems for an elastic plate
cites work: Q4780567
cites work: Q4444806
cites work: Symmetry of solutions to optimization problems related to partial differential equations
cites work: Rearrangements and fourth order equations
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
cites work: Rearrangements and convexity of level sets in PDE
cites work: Q3482159
cites work: Variational problem for vortices attached to seamounts.
cites work: Q4108681
cites work: On the first eigenvalue of the clamped plate
DOI: 10.1007/S10231-010-0142-5
description: scientific article; zbMATH DE number 5865233