Partial Regularity for Quasi-linear Elliptic System with VMO Coefficients Under the Natural Growth

Shenzhou Zheng · Chinese Annals of Mathematics · 2008

This paper establishes partial regularity with a sharp H(?)lder exponent of every weak solutions for a class of quasi-linear elliptic systems,which the coefficient operator satisfies VMO condition in variable x uniformly with respect to u and the lower order item satisfies the natural growth condition.

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