Maximal smoothness of solutions to certain Euler–Lagrange equations from nonlinear elasticity
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Publication:3984120
DOI10.1017/S0308210500014815zbMath0744.49008MaRDI QIDQ3984120
Daniel R. Phillips, Nicholas C. Owen, Patricia Baumann
Publication date: 27 June 1992
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Nonlinear elasticity (74B20) Existence theories in calculus of variations and optimal control (49J99)
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Cites Work
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
- Regularity properties of deformations with finite energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Global invertibility of Sobolev functions and the interpenetration of matter
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
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