Homogenization of elliptic systems with Neumann boundary conditions
Carlos E. Kenig, Fanghua Lin, Zhongwei Shen · Journal of the American Mathematical Society · 2013
For a family of second-order elliptic systems with rapidly oscillating periodic coefficients in a $C^{1,\alpha }$ domain, we establish uniform $W^{1,p}$ estimates, Lipschitz estimates, and nontangential maximal function estimates on solutions with Neumann boundary conditions.