Some existence theorems of the traction boundary value problem of linearized elastostatics

DOI10.1007/BF00275646zbMath0175.22108MaRDI QIDQ2532933

James Lowry Thompson

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

mechanics of solids

Related Items (17)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear elliptic differential systems and eigenvalue problems
• Elastostatic uniqueness in the half-space
• On pure extension
• The coerciveness problem for integro-differential forms
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Wave propagation and uniqueness in prestressed elastic solids
• Non‐coercive boundary value problems
• On $L^p$ Estimates and Regularity II.
• On L p Estimates and Regularity, I
• Effect of error in measurement of elastic constants on the solutions of problems in classical elasticity
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• On Saint-Venant’s principle
• General boundary value problems for elliptic partial differential equations

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