학술지Journal de Mathematiques Pures et Appliquees (0021-7824), 114, 118 ~ 145
등재유형SCI
게재일자 20180601
We obtain Calderon？Zygmund type estimate for nonlinear elliptic equations of p-Laplacian type, under the condition that the associated nonlinearity is allowed to be merely measurable in one spatial variable, but has locally small mean oscillation in the remaining spatial variables. This is the minimal regularity requirement on the associated nonlinearity for Calderon？Zygmund type estimate, in the sense that if the associated nonlinearity is allowed to be merely measurable with respect to two independent spatial variables then Calderon？Zygmund type estimate fails in general.
