Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions

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Abstract

Equations of linear and nonlinear infinitesimal elasticity with mixed boundary conditions are considered. The bounded domain is assumed to have a Lipschitz boundary and to satisfy additional regularity assumptions. W1,p regularity for the displacements and Lp regularity for the stresses are proved for some p>2. © 2011 Elsevier Inc.

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Herzog, R., Meyer, C., & Wachsmuth, G. (2011). Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions. Journal of Mathematical Analysis and Applications, 382(2), 802–813. https://doi.org/10.1016/j.jmaa.2011.04.074

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