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On W1,q Estimate for Weak Solutions to a Class of Divergence Elliptic Equations |
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| Authors: | Shuqing Zhou Songhai Deng & Xiaoyong Li |
| 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. |
| Keywords: | Divergence elliptic equation local W^{1 q} estimate reverse Hölder inequality |
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