Poincaré inequalities with the Radon measure for differential forms

Yuming Xing; Shusen Ding

doi:10.1016/j.camwa.2009.11.012

Poincaré inequalities with the Radon measure for differential forms

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

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

3 Scopus citations

Abstract

We establish the local and global Poincaré inequalities with the Radon measure for the solutions to the nonlinear elliptic partial differential equation for differential forms.

Original language	English
Pages (from-to)	1944-1952
Number of pages	9
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2009.11.012
State	Published - Mar 2010

Keywords

Differential forms
Poincaré inequality
The A-harmonic equation

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10.1016/j.camwa.2009.11.012

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title = "Poincar{\'e} inequalities with the Radon measure for differential forms",

abstract = "We establish the local and global Poincar{\'e} inequalities with the Radon measure for the solutions to the nonlinear elliptic partial differential equation for differential forms.",

keywords = "Differential forms, Poincar{\'e} inequality, The A-harmonic equation",

author = "Yuming Xing and Shusen Ding",

year = "2010",

month = mar,

doi = "10.1016/j.camwa.2009.11.012",

language = "英语",

volume = "59",

pages = "1944--1952",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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AU - Xing, Yuming

AU - Ding, Shusen

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N2 - We establish the local and global Poincaré inequalities with the Radon measure for the solutions to the nonlinear elliptic partial differential equation for differential forms.

AB - We establish the local and global Poincaré inequalities with the Radon measure for the solutions to the nonlinear elliptic partial differential equation for differential forms.

KW - Differential forms

KW - Poincaré inequality

KW - The A-harmonic equation

UR - https://www.scopus.com/pages/publications/77549083146

U2 - 10.1016/j.camwa.2009.11.012

DO - 10.1016/j.camwa.2009.11.012

M3 - 文章

AN - SCOPUS:77549083146

SN - 0898-1221

VL - 59

SP - 1944

EP - 1952

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

Poincaré inequalities with the Radon measure for differential forms

Abstract

Keywords

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