文摘
This paper deals with anisotropic solutions \(u \in W^{1,(p_i )} (\Omega ,\mathbb{R}^N )\) to the nonlinear elliptic system $$ - \sum\limits_{i = 1}^n {D_i (a_i^\alpha (x,Du(x)))} = - \sum\limits_{i = 1}^n {D_i F_i^\alpha (x)} ,\alpha = 1,2,...,N$$