Optimal form for compliance of membrane boundary shift in nonlinear case
type: Item
instance of: scholarly article
title: Optimal form for compliance of membrane boundary shift in nonlinear case
zbMATH Open document ID: 1469.74091
DOI: 10.1155/2018/1689269
author: Xianqiang Yang
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2019-02-27T00:00:00Z
review text: Summary: In this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the \(p\)-Laplacian is investigated. The boundary perturbation method due to Hadamard is applied in Sobolev spaces.
Mathematics Subject Classification ID: 74P05
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7029951
zbMATH Keywords: p-Laplacian
zbMATH Keywords: boundary perturbation method
zbMATH Keywords: existence
zbMATH Keywords: Sobolev space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1689269
OpenAlex ID: W2889544713
cites work: Q4101048
cites work: Variational methods in shape optimization problems
cites work: Domain perturbation for linear and nonlinear parabolic equations
cites work: Q4102374
cites work: Variation and optimization of formes. A geometric analysis
cites work: Q3960544
cites work: Shape design sensitivity of a membrane
cites work: Q4035299
cites work: On optimal shape design
cites work: Q3666416
cites work: Optimal treatment of structures
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
Wikidata QID: Q129291687
Recommended article: Q3379032
Recommended article: On nonlinearly elastic membranes under compression.
Recommended article: A phase-field model for compliance shape optimization in nonlinear elasticity
Recommended article: On the optimal shape of a rigid body supported by an elastic membrane
Recommended article: Variational Methods for Solving Nonlinear Boundary Problems of Statics of Hyper-Elastic Membranes
Recommended article: Q4789096
Recommended article: The free boundary problem in the optimization of composite membranes
Recommended article: Boundary layer solutions for some nonlinear elastic membrane problems
Recommended article: A remark on formal models for nonlinearly elastic membrane shells.
Recommended article: Q4845285
description: scientific article; zbMATH DE number 7029951