Elliptic obstacle problems with measurable coefficients in non-smooth domains

Sun Sig Byun; Dian K. Palagachev; Seungjin Ryu

doi:10.1080/01630563.2014.895753

Elliptic obstacle problems with measurable coefficients in non-smooth domains

Sun Sig Byun, Dian K. Palagachev, Seungjin Ryu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We establish a global weighted W^1,p-regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains.

Original language	English
Pages (from-to)	893-910
Number of pages	18
Journal	Numerical Functional Analysis and Optimization
Volume	35
Issue number	7-9
DOIs	https://doi.org/10.1080/01630563.2014.895753
State	Published - 3 Jul 2014

Keywords

Elliptic obstacle problem
Measurable coefficients
Reifenberg flat domain
Small BMO

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10.1080/01630563.2014.895753

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title = "Elliptic obstacle problems with measurable coefficients in non-smooth domains",

abstract = "We establish a global weighted W1,p-regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains.",

keywords = "Elliptic obstacle problem, Measurable coefficients, Reifenberg flat domain, Small BMO",

author = "Byun, \{Sun Sig\} and Palagachev, \{Dian K.\} and Seungjin Ryu",

year = "2014",

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doi = "10.1080/01630563.2014.895753",

language = "English",

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T1 - Elliptic obstacle problems with measurable coefficients in non-smooth domains

AU - Byun, Sun Sig

AU - Palagachev, Dian K.

AU - Ryu, Seungjin

PY - 2014/7/3

Y1 - 2014/7/3

N2 - We establish a global weighted W1,p-regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains.

AB - We establish a global weighted W1,p-regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains.

KW - Elliptic obstacle problem

KW - Measurable coefficients

KW - Reifenberg flat domain

KW - Small BMO

UR - https://www.scopus.com/pages/publications/84904331663

U2 - 10.1080/01630563.2014.895753

DO - 10.1080/01630563.2014.895753

M3 - Article

AN - SCOPUS:84904331663

SN - 0163-0563

VL - 35

SP - 893

EP - 910

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 7-9

ER -

Elliptic obstacle problems with measurable coefficients in non-smooth domains

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Keywords

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