LORENTZ ESTIMATES FOR ASYMPTOTICALLY REGULAR ELLIPTIC EQUATIONS IN QUASICONVEX DOMAINS

被引：0

作者：

Zhang, Junjie ^{[1
]}

Zheng, Shenzhou ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Lorentz estimate; Poisson kernel; Lorentz space; regularity; CALDERON-ZYGMUND THEORY; REIFENBERG DOMAINS; PARABOLIC EQUATIONS; GLOBAL REGULARITY; OBSTACLE PROBLEMS; NONLINEARITIES; COEFFICIENTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Poisson's formula, and quasiconvex domain locally approximated by convex domain.

引用

页数：13

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