Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity

DOI10.1090/S0002-9939-06-08645-XzbMath1108.35022MaRDI QIDQ3430179

Xiaodong Yan

Publication date: 21 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weak solutionequilibrium equationsmaximal smoothnessquasiconvex density

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Mappings of least Dirichlet energy and their Hopf differentials ⋮ Lipschitz regularity for inner-variational equations ⋮ Subharmonicity results for the stationary solutions of isotropic energy functionals ⋮ Neohookean deformations of annuli, existence, uniqueness and radial symmetry ⋮ Regularity for minimizers with positive Jacobian ⋮ Injective weak solutions in second-gradient nonlinear elasticity

Cites Work

• Unnamed Item
• Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Compensated compactness and Hardy spaces
• \(H^p\) spaces of several variables
• Maximal smoothness of solutions to certain Euler–Lagrange equations from nonlinear elasticity
• Minimizers with topological singularities in two dimensional elasticity
• Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids

This page was built for publication: Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity