Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions

We prove partial and full boundary Hölder continuity, under a suitable regularity on the boundary datum, of the minimizers of non-autonomous integral functionals of the type \int_{\Omega}\Phi\bigl{(}(A^{\alpha\beta}_{ij}(x,u)D_{i}u^{\alpha}D_{j}u^{% \beta})^{\frac{1}{2}}\bigr{)}\mathop{}\!dx, where {\Omega\subset\mathbb{R}^{n}} is a bounded domain, {\Phi(t)=t^{p}\log^{\alpha}(e+t)} with {1<p\leq n} and {\alpha>0} , and {A(x,s)=(A^{\alpha\beta}_{ij}(x,s))} is a uniformly elliptic, bounded and continuous function.