Liang, ShuangZheng, Shenzhou2022-01-102022-01-102018-03-01Liang, S., & Zheng, S. (2018). Gradient estimate in Orlicz spaces for elliptic obstacle problems with partially BMO nonlinearities. <i>Electronic Journal of Differential Equations, 2018</i>(58), pp. 1-15.1072-6691https://hdl.handle.net/10877/15114We prove a global Orlicz estimate for the gradient of weak solutions to a class of nonlinear obstacle problems with partially regular nonlinearities in nonsmooth domains. It is assumed that the nonlinearities are merely measurable in one spatial variable and have sufficiently small BMO semi-norm in the other variables, and the boundary of underlying domain is Reifenberg flat.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear elliptic obstacle problemsPartially BMO nonlinearitiesReifenberg flatnessOrlicz spaceThe Hardy-Littlewood maximal operatorArticle