@Article{JPDE-15-7, author = {Shuqing Zhou , Songhai Deng and Xiaoyong Li }, title = {On W1,q Estimate for Weak Solutions to a Class of Divergence Elliptic Equations}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {1}, pages = {7--12}, abstract = { Local W^{1,q} estimates for weak solutions to a class of equations in divergence form D_i(a_{ij}(x)|Du|^{p-2D_ju) = 0 are obtained, where q > p is given. These estimates are very important in obtaining higher regularity for the weak solutions to elliptic equations.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5436.html} }