Elliptic equations with measurable coefficients in generalized weighted morrey spaces
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We obtain a global generalized weighted Morrey Mwp,? estimate for the gradient of the weak solutions to divergence form elliptic equations with measurable coefficients in a nonsmooth bounded domain. The coefficients are assumed to be merely measurable in one variable and to have small BMO semi-norms in the remaining variables, while the boundary of the domain is supposed to be Reifenberg flat, which goes beyond the category of domains with Lipschitz continuous boundaries. As consequence of the main result, we derive global gradient estimate for the weak solution in the framework of the generalized weighted Morrey spaces. © 2017, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Açıklama
Anahtar Kelimeler
Elliptic equation, Generalized weighted Morrey spaces, Gradient estimates, Measurable coefficients, Muckenhoupt weight, Reifenberg flat domain
Kaynak
Proceedings of the Institute of Mathematics and Mechanics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
43
Sayı
2
