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Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
Authors:Roland Herzog  Christian Meyer  Gerd Wachsmuth
Institution:a Chemnitz University of Technology, Faculty of Mathematics, D-09107 Chemnitz, Germany
b TU Darmstadt, Graduate School CE, Dolivostr. 15, D-64293 Darmstadt, Germany
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.
Keywords:Nonlinear elasticity  Integrability  Mixed boundary conditions  Discontinuous coefficients
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