Lorentz estimates for asymptotically regular fully nonlinear elliptic equations

Date

2017-05-04

Authors

Wang, Yongyong
Zhang, Junjie
Zheng, Shenzhou

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We 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.

Description

Keywords

Nonlinear elliptic equations, Lorentz estimate, Asymptotically regular, Small BMO coefficients

Citation

Wang, 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.

Rights

Attribution 4.0 International

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