A new weight class and Poincaré inequalities with the Radon measure

Yuming Xing

doi:10.1186/1029-242X-2012-32

A new weight class and Poincaré inequalities with the Radon measure

Yuming Xing^*

^*Corresponding author for this work

School of Mathematics

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

8 Scopus citations

Abstract

We first introduce and study a new family of weights, the A(α, β, γ E)-class which contains the well-known A^r(E)-weight as a proper subset. Then, as applications of the A(α, β, γ E)-class, we prove the local and global Poincaré inequalities with the Radon measure for the solutions of the non-homogeneous A-harmonic equation which belongs to a kind of the nonlinear partial differential equations. 2000 Mathematics Subject Classification: Primary 26D10; Secondary 35J60; 31B05; 58A10; 46E35.

Original language	English
Article number	32
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-32
State	Published - 2012

Keywords

Harmonic equations and differential forms
Poincar?é?-type inequality
Weights

Access to Document

10.1186/1029-242X-2012-32

Cite this

@article{c5df74db022048a9b1a07679e9a1874f,

title = "A new weight class and Poincar{\'e} inequalities with the Radon measure",

abstract = "We first introduce and study a new family of weights, the A(α, β, γ E)-class which contains the well-known Ar(E)-weight as a proper subset. Then, as applications of the A(α, β, γ E)-class, we prove the local and global Poincar{\'e} inequalities with the Radon measure for the solutions of the non-homogeneous A-harmonic equation which belongs to a kind of the nonlinear partial differential equations. 2000 Mathematics Subject Classification: Primary 26D10; Secondary 35J60; 31B05; 58A10; 46E35.",

keywords = "Harmonic equations and differential forms, Poincar?{\'e}?-type inequality, Weights",

author = "Yuming Xing",

year = "2012",

doi = "10.1186/1029-242X-2012-32",

language = "英语",

volume = "2012",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

}

TY - JOUR

T1 - A new weight class and Poincaré inequalities with the Radon measure

AU - Xing, Yuming

PY - 2012

Y1 - 2012

N2 - We first introduce and study a new family of weights, the A(α, β, γ E)-class which contains the well-known Ar(E)-weight as a proper subset. Then, as applications of the A(α, β, γ E)-class, we prove the local and global Poincaré inequalities with the Radon measure for the solutions of the non-homogeneous A-harmonic equation which belongs to a kind of the nonlinear partial differential equations. 2000 Mathematics Subject Classification: Primary 26D10; Secondary 35J60; 31B05; 58A10; 46E35.

AB - We first introduce and study a new family of weights, the A(α, β, γ E)-class which contains the well-known Ar(E)-weight as a proper subset. Then, as applications of the A(α, β, γ E)-class, we prove the local and global Poincaré inequalities with the Radon measure for the solutions of the non-homogeneous A-harmonic equation which belongs to a kind of the nonlinear partial differential equations. 2000 Mathematics Subject Classification: Primary 26D10; Secondary 35J60; 31B05; 58A10; 46E35.

KW - Harmonic equations and differential forms

KW - Poincar?é?-type inequality

KW - Weights

UR - https://www.scopus.com/pages/publications/84870515440

U2 - 10.1186/1029-242X-2012-32

DO - 10.1186/1029-242X-2012-32

M3 - 文章

AN - SCOPUS:84870515440

SN - 1025-5834

VL - 2012

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 32

ER -

A new weight class and Poincaré inequalities with the Radon measure

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this