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.
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