The contact set of a rigid body partially supported by a membrane

DOI10.1016/0362-546X(86)90003-9zbMath0588.73196OpenAlexW2092708214MaRDI QIDQ3716530

Charles M. Elliott, Avner Friedman

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90003-9

zbMATH Keywords

existencemoving boundaryobstacle problemrigid bodyfluid flowlinearized problemselastic and originally plane membrane

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Theories of friction (tribology) (74A55)

Related Items (3)

On the convexity of a solution of Liouville's equation ⋮ On a variational problem for an elastic membrane supporting a heavy ball ⋮ A quasi-variational problem in nonlinear elasticity

Cites Work

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• Contact between an elastically supported circular plate and a rigid indenter
• Convexity of solutions of semilinear elliptic equations
• Nonlinear desingularization in certain free-boundary problems
• Asymptotic estimates for the plasma problem
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• Error estimates for the approximation of a class of variational inequalities arising in unilateral problems with friction
• On some existence and uniqueness results in contact problems with nonlocal friction
• On the regularity of the solution of a variational inequality

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