Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients

Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients

Abstract We prove global Lorentz estimates for variable power of the gradient of weak solution to linear elliptic obstacle problems with small partially BMO coefficients over a bounded nonsmooth domain. Here, we assume that the leading coefficients are measurable in one variable and have small BMO s...

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Bibliographic Details
Main Authors: Hong Tian, Shenzhou Zheng
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Boundary Value Problems
Subjects:
elliptic obstacle problems
variable power for the gradient of weak solution
Lorentz spaces
partial BMO coefficients
Reifenberg flat domains
Online Access:http://link.springer.com/article/10.1186/s13661-017-0859-9

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http://link.springer.com/article/10.1186/s13661-017-0859-9

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