On <em>W<sup>1,q</sup></em> Estimate for Weak Solutions to a Class of Divergence Elliptic Equations

On <em>W<sup>1,q</sup></em> Estimate for Weak Solutions to a Class of Divergence Elliptic Equations

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5436

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 7–12

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Divergence elliptic equation