GENERALIZED LOCAL MORREY REGULARITY OF ELLIPTIC SYSTEMS

Guliyev V., ŞERBETÇİ A.

SOCAR Proceedings, no.2, pp.131-136, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.5510/ogp20240200979
  • Journal Name: SOCAR Proceedings
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Compendex
  • Page Numbers: pp.131-136
  • Keywords: elliptic systems, generalized local morrey space, vanishing mean oscillation
  • Ankara University Affiliated: Yes

Abstract

We study the regularity theory of linear elliptic systems with dis- continuous coefficients in generalized local Morrey spaces. Precisely, we obtain local regularity results for the strong solutions to 2b-order linear elliptic systems (Formula Presented) where the principal coefficients Aα are assumed to be functions with vanishing mean oscillation (VMO).