Dynamics of Partial Differential Equations

Volume 5 (2008)

Number 1

Regularity for quasi-linear elliptic systems with discontinuous coefficients

Pages: 87 – 99

DOI: http://dx.doi.org/10.4310/DPDE.2008.v5.n1.a4


Z. Feng (Department of Mathematics, University of Texas-Pan American, Edinburg, Texas, U.S.A.)

S. Zheng (Department of Mathematics, Beijing Jiaotong University, Beijing, China)


In this paper we study regularity and partial regularity for theweak solution of a class of general quasi-linear elliptic equations and systems,which are of the quasi-linear main coefficients satisfying the VMO conditionsin x uniformly with respect to u, and of the lower order items satisfying controllablegrowth.


VMO function, controllable growth, reserve Hölder inequality, partial regularity, weak solution

2010 Mathematics Subject Classification

35B45, 35J60

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