Optimal form for compliance of membrane boundary shift in nonlinear case

DOI10.1155/2018/1689269zbMath1469.74091OpenAlexW2889544713WikidataQ129291687 ScholiaQ129291687MaRDI QIDQ1728982

Xianqiang Yang

Publication date: 27 February 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1689269

zbMATH Keywords

Sobolev spaceexistencep-Laplacianboundary perturbation method

Mathematics Subject Classification ID

Membranes (74K15) Compliance or weight optimization in solid mechanics (74P05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Optimal treatment of structures
• Shape design sensitivity of a membrane
• On optimal shape design
• Domain perturbation for linear and nonlinear parabolic equations
• Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
• Variational methods in shape optimization problems
• Variation and optimization of formes. A geometric analysis
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
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