Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces

Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro

doi:10.1080/17476933.2013.831844

Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro

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

16 Citations (Scopus)

Abstract

In this paper, we establish the regularity, in generalized grand Morrey spaces, of the solution to elliptic equations in non-divergence form with VMO coefficients by means of the theory of singular integrals and linear commutators.

Original language	English
Pages (from-to)	1169-1184
Number of pages	16
Journal	Complex Variables and Elliptic Equations
Volume	59
Issue number	8
DOIs	https://doi.org/10.1080/17476933.2013.831844
Publication status	Published - Aug 2014
Externally published	Yes

Keywords

Morrey spaces
VMO
commutators
elliptic equation
singular integrals

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2013.831844

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title = "Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces",

abstract = "In this paper, we establish the regularity, in generalized grand Morrey spaces, of the solution to elliptic equations in non-divergence form with VMO coefficients by means of the theory of singular integrals and linear commutators.",

keywords = "Morrey spaces, VMO, commutators, elliptic equation, singular integrals",

author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro",

note = "Funding Information: The first and second named authors were partially supported by the Shota Rustaveli National Science Foundation with Grant (Project numbers D/13-23 and 31/47). The third named author was partially supported by Pontificia Universidad Javeriana, Research Project Elliptic Equations in Grand Morrey spaces ID PRY: 005779. We would like to thank the anonymous referee for helpful comments.",

year = "2014",

month = aug,

doi = "10.1080/17476933.2013.831844",

language = "English",

volume = "59",

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journal = "Complex Variables and Elliptic Equations",

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T1 - Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces

AU - Kokilashvili, Vakhtang

AU - Meskhi, Alexander

AU - Rafeiro, Humberto

N1 - Funding Information: The first and second named authors were partially supported by the Shota Rustaveli National Science Foundation with Grant (Project numbers D/13-23 and 31/47). The third named author was partially supported by Pontificia Universidad Javeriana, Research Project Elliptic Equations in Grand Morrey spaces ID PRY: 005779. We would like to thank the anonymous referee for helpful comments.

PY - 2014/8

Y1 - 2014/8

N2 - In this paper, we establish the regularity, in generalized grand Morrey spaces, of the solution to elliptic equations in non-divergence form with VMO coefficients by means of the theory of singular integrals and linear commutators.

AB - In this paper, we establish the regularity, in generalized grand Morrey spaces, of the solution to elliptic equations in non-divergence form with VMO coefficients by means of the theory of singular integrals and linear commutators.

KW - Morrey spaces

KW - VMO

KW - commutators

KW - elliptic equation

KW - singular integrals

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JF - Complex Variables and Elliptic Equations

IS - 8

ER -

Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces

Abstract

Keywords

ASJC Scopus subject areas

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