Lorentz estimates for asymptotically regular fully nonlinear elliptic equations
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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