Global second order optimal regularity for the vectorial $p$-Laplacian

Berardino Sciunzi, Giuseppe Spadaro, Domenico Vuono

We obtain optimal regularity results for solutions to vectorial $p$-Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\bolds…