Weighted integral inequalities for solutions of the A-harmonic equation

Xing Yuming

doi:10.1016/S0022-247X(03)00036-2

Weighted integral inequalities for solutions of the A-harmonic equation

Xing Yuming^*

^*Corresponding author for this work

School of Mathematics

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

45 Scopus citations

Abstract

We prove the parametric versions of A_r^λ(Ω)-weighted integral inequalities for differential forms satisfying the A-harmonic equation. These results can be considered as extensions of the classical inequalities for Sobolev functions.

Original language	English
Pages (from-to)	350-363
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	279
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(03)00036-2
State	Published - 1 May 2003

Keywords

A-weight and differential forms
Inequalities

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10.1016/S0022-247X(03)00036-2

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title = "Weighted integral inequalities for solutions of the A-harmonic equation",

abstract = "We prove the parametric versions of Arλ(Ω)-weighted integral inequalities for differential forms satisfying the A-harmonic equation. These results can be considered as extensions of the classical inequalities for Sobolev functions.",

keywords = "A-weight and differential forms, Inequalities",

author = "Xing Yuming",

year = "2003",

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N2 - We prove the parametric versions of Arλ(Ω)-weighted integral inequalities for differential forms satisfying the A-harmonic equation. These results can be considered as extensions of the classical inequalities for Sobolev functions.

AB - We prove the parametric versions of Arλ(Ω)-weighted integral inequalities for differential forms satisfying the A-harmonic equation. These results can be considered as extensions of the classical inequalities for Sobolev functions.

KW - A-weight and differential forms

KW - Inequalities

UR - https://www.scopus.com/pages/publications/0037996656

U2 - 10.1016/S0022-247X(03)00036-2

DO - 10.1016/S0022-247X(03)00036-2

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SP - 350

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JO - Journal of Mathematical Analysis and Applications

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ER -

Weighted integral inequalities for solutions of the A-harmonic equation

Abstract

Keywords

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