Nonlinear gradient estimates for elliptic equations of general type

作者：Byun, Sun Sig; Wang, Lihe^*

来源：Calculus of Variations and Partial Differential Equations, 2012, 45(3-4): 403-419.

DOI：10.1007/s00526-011-0463-2

We study a very general model of nonvariational elliptic equations of p-Laplacian type. We prove the W (1,q) -estimates for each q > p regarding such a nonlinear elliptic equation in divergence form under the assumption that for each point and for each sufficiently small scale the nonlinearity is suitably close to a vector of the gradient in BMO space. In the same spirit our results can be easily extended to Orlicz spaces as well.

• 出版日期2012-11
• 单位上海交通大学