Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
M. N. Omarova
Baku State University, Azerbaycan
Baku State University, Azerbaycan
M. A. Ragusa
Rudn University, Rusya Federasyonu
Rudn University, Rusya Federasyonu
A. Scapellato Università Degli Studi Di Catania, İtalya
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Analysis and Mathematical Physics (Q1) | ||
| Dergi ISSN | 1664-2368 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 12-2020 |
| Cilt / Sayı / Sayfa | 11 / 1 / 13–0 | DOI | 10.1007/s13324-020-00433-9 |
| Makale Linki | http://dx.doi.org/10.1007/s13324-020-00433-9 | ||
| Özet |
| Aim of this paper is to prove regularity results, in some Modified Local Generalized Morrey Spaces, for the first derivatives of the solutions of a divergence elliptic second order equation of the form Lu:=∑i,j=1naij(x)uxixj=∇·f,for almost allx∈Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \mathscr {L}u{:}{=}\sum _{i,j=1}^{n}\left( a_{ij}(x)u_{x_{i}}\right) _{x_{j}}=\nabla \cdot f,\qquad \hbox {for almost all }x\in \Omega \end{aligned}$$\end{document}where the coefficients aij\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek … |
| Anahtar Kelimeler |
| Elliptic equations | Integral operators | Morrey-type spaces | VMO |