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
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 Dergi Bilgileri (2020) | ||
| 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 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| 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 |
| Atıf Sayıları | |
| Web of Science | 21 |
| Scopus | 24 |
| Google Scholar | 31 |