The Lavrentiev phenomenon in nonlinear elasticity

DOI10.1023/B:ELAS.0000018778.53392.b7zbMath1085.74006MaRDI QIDQ702322

William J. Hrusa, Victor J. Mizel, Mikil D. Foss

Publication date: 17 January 2005

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceenergy gap

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

A new example for the Lavrentiev phenomenon in nonlinear elasticity, Regularity of minima: an invitation to the dark side of the calculus of variations.

Cites Work

• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• The Lavrentiev phenomenon for invariant variational problems
• Convexity conditions and existence theorems in nonlinear elasticity
• The Lavrentiev gap phenomenon in nonlinear elasticity
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Interpretation of Lavrentiev Phenomenon by Relaxation: The Higher Order Case
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