Nonlinear Elliptic Equations with Small BMO Coefficients in Nonsmooth Domains in Generalized Morrey Spaces

We obtain the generalized Sobolev-Morrey spaces W1p,ϕ(Ω) estimate for weak solutions of a boundary value problem for nonlinear elliptic equations with BMO coefficients in nonsmooth domains. We investigate regularity of the weak solutions in generalized Morrey spaces Mp,ϕ(Ω). The nonlinearity has sufficiently small BMO seminorm and the boundary of the domain is sufficiently flat. © Zagreb

Authors
Gadjiev T.S.1 , Guliyev V.S. 2, 3, 4
Journal
Journal of Mathematical Inequalities
Publisher
Element D.O.O.
Number of issue
2
Language
English
Pages
491-509
Status
Published
Link
External link
DOI
10.7153/jmi-2021-15-37
Volume
15
Year
2021
Organizations
  • 1 Institute of Mathematics and Mechanics of NAS of Azerbaijan Baku, Azerbaijan
  • 2 Institute of Applied Mathematics Baku State University Baku, Azerbaijan
  • 3 Department of Mathematics Dumlupinar University Kutahya, Turkey
  • 4 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
generalized Sobolev-Morrey spaces; maximal function; Nonlinear elliptic equations; Reifenberg flat domain; small BMO
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74236/
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