Global Sobolev regularity for general elliptic equations of $p$-Laplacian type

Sun-Sig Byun, Dian K. Palagachev, Pilsoo Shin

We derive global gradient estimates for $W_0^{1,p}(\Omega )$-weak solutions to quasilinear elliptic equations of the form $$ \mathrm{div\,}\mathbf{a}(x,u,Du)=\mathrm{div\,}(|F|^{p-2}F) $…