Elliptic obstacle problems with measurable coefficients in non-smooth domains

Sun Sig Byun, Dian K. Palagachev, Seungjin Ryu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)893-910
Number of pages18
JournalNumerical Functional Analysis and Optimization
Volume35
Issue number7-9
DOIs
StatePublished - 3 Jul 2014

Keywords

  • Elliptic obstacle problem
  • Measurable coefficients
  • Reifenberg flat domain
  • Small BMO

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