Lorentz estimates for asymptotically regular elliptic equations in quasiconvex domains

We derive a global Lorentz estimate of the gradient of weak solutions to nonlinear elliptic problems with asymptotically regular nonlinearity in quasiconvex domains. Here, we prove its Lorentz estimate for such an asymptotically regular elliptic problem by constructing a regular problem via Pois...

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Bibliographic Details
Main Authors: Junjie Zhang, Shenzhou Zheng
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/142/abstr.html