Minimizers of Kirchhoff's plate functional: Euler-Lagrange equations and regularity

DOI10.1016/J.CRMA.2009.03.031zbMath1163.74033OpenAlexW2019162056MaRDI QIDQ1022303

Peter Hornung

Publication date: 10 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.03.031

zbMATH Keywords

isometric immersions

Mathematics Subject Classification ID

Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Variational principles of physics (49S05)

Related Items (2)

Euler-lagrange equation and regularity for flat minimizers of the Willmore functional ⋮ Triangular buckling patterns of twisted inextensible strips

Cites Work

• Unnamed Item
• Constrained Willmore surfaces
• On the Sobolev space of isometric immersions
• Approximating \(W^{2,2}\) isometric immersions
• Regularity properties of isometric immersions
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

This page was built for publication: Minimizers of Kirchhoff's plate functional: Euler-Lagrange equations and regularity