Integrability of very weak solution to the Dirichlet problem of nonlinear elliptic system

This article concerns the higher integrability of a very weak solution $u\in \theta+ W_0 ^{1,r}(\Omega)$ for $\max \{1,p-1\}<r<p<n$ to the Dirichlet problem of the nonlinear elliptic system $$\displaylines{ -D_\alpha\mathbf{A}_i^\alpha(x,Du)= \mathbf{B}_i(x,Du) \quad \text{in }\Omega,\c...

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Bibliographic Details
Main Authors: Yuxia Tong, Shuang Liang, Shenzhou Zheng
Format: Article
Language:English
Published: Texas State University 2019-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/01/abstr.html