Boundary regularity for elliptic systems with \(p,q\)-growth (Q2668966)

The authors establish local Lipschitz regularity at the boundary for minimizers of integral functionals defined in a domain \(\Omega\) satisfying a homogeneous Dirichlet boundary condition on some part of the boundary. It is pointed out that for the integrand it is assumed that it has Uhlenbeck structure and nonstandard \(p, q\)-growth condition. The authors emphasize that only convexity of the arbitrary convex domain \(\Omega\) is assumed and no further regularity of \(\partial \Omega\), not even \(C^1\)-regularity.