On W1,q Estimate for Weak Solutions to a Class of Divergence Elliptic Equations

Authors

  • Shuqing Zhou , Songhai Deng & Xiaoyong Li

Keywords:

Divergence elliptic equation;local W^{1;q} estimate;reverse Hölder inequality

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.

Downloads

Published

2002-02-02

Abstract View

  • 92

Pdf View

  • 58

Issue

Vol. 15 No. 1 (2002)

Section

Articles

How to Cite

On W1,q Estimate for Weak Solutions to a Class of Divergence Elliptic Equations. (2002). Journal of Partial Differential Equations, 15(1), 7-12. https://global-sci.com/index.php/jpde/article/view/3984