Obstacle problem for von Kármán equations

DOI10.1016/0196-8858(92)90005-HzbMath0766.35087OpenAlexW2055249833MaRDI QIDQ1197390

Yang Gao, Shing Tung Yau

Publication date: 16 January 1993

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(92)90005-h

zbMATH Keywords

existenceuniquenessrigid obstaclefree boundary variational problemsprimal nonlinear variational problemRockafellar's duality theorysemiquadratic dual optimization problemthin elastic plates with obstacles

Mathematics Subject Classification ID

Related Items (8)

Contact problems and dual variational inequality of 2-D elastoplastic beam theory ⋮ Complementary finite-element method for finite deformation nonsmooth mechanics ⋮ Stability and extremum principles for post yield analysis of finite plasticity ⋮ Duality Theory in Nonlinear Buckling Analysis for von Kármán Equations ⋮ Morley finite element method for the von Kármán obstacle problem ⋮ On the contact of a rigid sphere and a thin plate ⋮ Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory ⋮ Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

Cites Work

• Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. II. Approximation and numerical analysis
• On the Free Boundary in Heterogeneous Obstacle-Type Problems with Two Phases
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Optimal design and relaxation of variational problems, III
• On the extreme variational principles for nonlinear elastic plates
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Obstacle problem for von Kármán equations