TY - GEN A1 - Fiaschi, Alice A1 - Knees, Dorothee A1 - Reichelt, Sina T1 - Global higher integrability of minimizers of variational problems with mixed boundary conditions N2 - We consider integral functionals with densities of p-growth, with respect to gradients, on a Lipschitz domain with mixed boundary conditions. The aim of this paper is to prove that, under uniform estimates within certain classes of p-growth and coercivity assumptions on the density, the minimizers are of higher integrability order, meaning that they belong to the space of first order Sobolev functions with an integrability of order $p+\epsilon$ for a uniform $\epsilon >0$. The results are applied to a model describing damage evolution in a nonlinear elastic body and to a model for shape memory alloys. KW - Higher integrabilty of gradients of minimizers KW - mixed boundary conditions KW - uniform Caccioppoli-like inequality Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/955 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-9556 ER -