Wang, YongyongZhang, JunjieZheng, Shenzhou2022-04-202022-04-202017-05-04Wang, Y., Zhang, J., & Zheng, S. (2017). Lorentz estimates for asymptotically regular fully nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 2017</i>(120), pp. 1-13.1072-6691https://hdl.handle.net/10877/15674We prove a global Lorentz estimate of the Hessian of strong solutions to a class of asymptotically regular fully nonlinear elliptic equations over a C1,1 smooth bounded domain. Here, the approach of the main proof is based on the Possion's transform from an asymptotically regular elliptic equation to the regular one.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear elliptic equationsLorentz estimateAsymptotically regularSmall BMO coefficientsArticle