TY - JOUR
T1 - On <em>W<sup>1,q</sup></em> Estimate for Weak Solutions to a Class of Divergence Elliptic Equations
JO - Journal of Partial Differential Equations
VL - 1
SP - 7
EP - 12
PY - 2002
DA - 2002/02
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5436.html
KW - Divergence elliptic equation
KW - local W^{1
KW - q} estimate
KW - reverse Hölder inequality
AB -  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 &gt; p is given. These estimates are very important in obtaining higher regularity for the weak solutions to elliptic equations.