Higher integrability of the gradient in linear elasticity
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Publication:1337515
DOI10.1007/BF01459793zbMath0806.73009MaRDI QIDQ1337515
Publication date: 9 November 1994
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165217
local geometrySobolev-Poincaré inequalityKorn inequalitylocal Hardy-Littlewood maximal operatorreverse Hölder inequalitiesdisplacement-traction problem
Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)
Related Items (10)
Distortion compensation as a shape optimisation problem for a sharp interface model ⋮ On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity ⋮ Higher integrability of the gradient in degenerate elliptic equations ⋮ Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains ⋮ Collisions in shape memory alloys ⋮ Global existence of strong solutions to a groundwater flow problem ⋮ Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures ⋮ On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects ⋮ Commutability of homogenization and linearization at identity in finite elasticity and applications ⋮ Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
Cites Work
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Nonlinear elliptic systems with quadratic growth
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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