Zhou, Shuqing; Dong, Songhai; Li, Xiaoyong On the \(W^{1,q}\) estimate for weak solutions to a class of divergence elliptic equations. (English) Zbl 1136.35389 J. Partial Differ. Equations 15, No. 1, 7-12 (2002). Summary: Local \(W^ {1,q}\) estimates for weak solutions for equations in the form \[ D_ i(a_ {ij}(x)| Du| ^ {p-2}D_ ju)=0 \] are obtained, where \(q>p\) is given. These estimates are very important in obtaining higher regularity for the weak solutions of elliptic equations. MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35B45 A priori estimates in context of PDEs 35J60 Nonlinear elliptic equations PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Partial Differ. Equations 15, No. 1, 7--12 (2002; Zbl 1136.35389)