Regularity of solutions to elliptic equations with VMO coefficients

Ye Min Chen

doi:10.1007/s10114-004-0348-9

Regularity of solutions to elliptic equations with VMO coefficients

Ye Min Chen^*

^*Corresponding author for this work

Peking University

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

15 Citations (Scopus)

Abstract

The aim of this paper is to study the regularity of solutions to the Dirichlet problems for general second-order elliptic equations in Lebesgue and Morrey spaces. We consider both non-divergence and divergence forms and the coefficients of principle terms are assumed to be in VMO.

Original language	English
Pages (from-to)	1103-1118
Number of pages	16
Journal	Acta Mathematica Sinica, English Series
Volume	20
Issue number	6
DOIs	https://doi.org/10.1007/s10114-004-0348-9
Publication status	Published - Nov 2004
Externally published	Yes

Keywords

Elliptic equations
Regularity
VMO

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10.1007/s10114-004-0348-9

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AB - The aim of this paper is to study the regularity of solutions to the Dirichlet problems for general second-order elliptic equations in Lebesgue and Morrey spaces. We consider both non-divergence and divergence forms and the coefficients of principle terms are assumed to be in VMO.

KW - Elliptic equations

KW - Regularity

KW - VMO

UR - https://www.scopus.com/pages/publications/11944254551

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DO - 10.1007/s10114-004-0348-9

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AN - SCOPUS:11944254551

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 6

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Regularity of solutions to elliptic equations with VMO coefficients

Abstract

Keywords

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