Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
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Publication:810267
DOI10.1016/S0294-1449(16)30269-4zbMath0733.35015MaRDI QIDQ810267
Nicholas C. Owen, Patricia Baumann, Daniel R. Phillips
Publication date: 1991
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1991__8_2_119_0
Nonlinear elasticity (74B20) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)
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Cites Work
- Unnamed Item
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- Unnamed Item
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Quasiconvexity and partial regularity in the calculus of variations
- Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
- Convexity conditions and existence theorems in nonlinear elasticity
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
