Global invertibility of Sobolev functions and the interpenetration of matter

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Publication:3935688

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DOI10.1017/S030821050002014XzbMath0478.46032MaRDI QIDQ3935688

John M. Ball

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev space nonlinear elasticity implicit function cone condition global inverse function theorem energy-minimizing displacement field

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Implicit function theorems, Jacobians, transformations with several variables (26B10) Implicit function theorems; global Newton methods on manifolds (58C15)

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