On the positive definiteness of the Poincaré-Steklov operator for elastic half-plane

DOI10.3103/S0027133021060029zbMath1487.74095OpenAlexW4214917335MaRDI QIDQ2132756

A. A. Bobylev

Publication date: 28 April 2022

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133021060029

zbMATH Keywords

integral representationFlamant problemPoincaré-Steklov operatorkinematic condition

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Contact in solid mechanics (74M15) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Contact problems. The legacy of L. A. Galin. Edited by G. M. L. Gladwell
• The boundary integral approach to static and dynamic contact problems: equality and inequality methods
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Variational and quasi-variational inequalities in mechanics
• A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems
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