Weighted Sobolev-Morrey Regularity of Solutions to Variational Inequalities

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Guliyev V. S., ŞERBETÇİ A., Ekincioglu I.

Azerbaijan Journal of Mathematics, cilt.14, sa.1, ss.94-108, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.59849/2218-6816.2024.1.94
  • Dergi Adı: Azerbaijan Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.94-108
  • Anahtar Kelimeler: elliptic obstacle problem, generalized weighted Morrey estimates, measurable coefficients, Reifenberg flat domain, small BMO
  • Ankara Üniversitesi Adresli: Evet

Özet

We establish a global generalized weighted Sobolev-Morrey W1Mwp,ϕ-regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains.