Partial regularity and higher integrability for A-quasiconvex variational problems

Zhuolin Li, Bogdan Raiţă

We prove that minimizers of variational problems on open sets $\Omega \subset {\mathbb{R}}^n$ $$ \mbox{minimize}\quad \mathcal E(v)=\int_Ωf(v(x))\mathrm{d} x\quad\text{for } \mathscr{A} v=…