Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients

The Anh Bui; The Quan Bui

doi:10.1016/j.na.2018.10.001

Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients

The Anh Bui, The Quan Bui^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we prove the regularity estimates on the weighted Lorentz spaces for the higher-order elliptic system of equations with non-smooth coefficients on a Lipschitz domain. As a by product, we obtain the regularity estimate on the Lorentz–Morrey spaces. Our results extend previous results to the larger class of Muckenhoupt weights.

Original language	English
Article number	111357
Pages (from-to)	1-18
Number of pages	18
Journal	Nonlinear Analysis
Volume	194
DOIs	https://doi.org/10.1016/j.na.2018.10.001
Publication status	Published - May 2020

Keywords

Higher-order elliptic systems
Lipschitz domain
Weighted Lorentz spaces
Lorentz–Morrey spaces

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10.1016/j.na.2018.10.001

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title = "Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients",

abstract = "In this paper we prove the regularity estimates on the weighted Lorentz spaces for the higher-order elliptic system of equations with non-smooth coefficients on a Lipschitz domain. As a by product, we obtain the regularity estimate on the Lorentz–Morrey spaces. Our results extend previous results to the larger class of Muckenhoupt weights.",

keywords = "Higher-order elliptic systems, Lipschitz domain, Weighted Lorentz spaces, Lorentz–Morrey spaces",

author = "Bui, \{The Anh\} and Bui, \{The Quan\}",

year = "2020",

month = may,

doi = "10.1016/j.na.2018.10.001",

language = "English",

volume = "194",

pages = "1--18",

journal = "Nonlinear Analysis",

issn = "0362-546X",

publisher = "Elsevier",

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T1 - Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients

AU - Bui, The Anh

AU - Bui, The Quan

PY - 2020/5

Y1 - 2020/5

N2 - In this paper we prove the regularity estimates on the weighted Lorentz spaces for the higher-order elliptic system of equations with non-smooth coefficients on a Lipschitz domain. As a by product, we obtain the regularity estimate on the Lorentz–Morrey spaces. Our results extend previous results to the larger class of Muckenhoupt weights.

AB - In this paper we prove the regularity estimates on the weighted Lorentz spaces for the higher-order elliptic system of equations with non-smooth coefficients on a Lipschitz domain. As a by product, we obtain the regularity estimate on the Lorentz–Morrey spaces. Our results extend previous results to the larger class of Muckenhoupt weights.

KW - Higher-order elliptic systems

KW - Lipschitz domain

KW - Weighted Lorentz spaces

KW - Lorentz–Morrey spaces

UR - https://www.scopus.com/pages/publications/85055593750

U2 - 10.1016/j.na.2018.10.001

DO - 10.1016/j.na.2018.10.001

M3 - Article

AN - SCOPUS:85055593750

SN - 0362-546X

VL - 194

SP - 1

EP - 18

JO - Nonlinear Analysis

JF - Nonlinear Analysis

M1 - 111357

ER -

Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients

Abstract

Keywords

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