Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications

Yuming Xing; Shusen Ding

doi:10.1088/0951-7715/23/5/005

Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

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

9 Scopus citations

Abstract

We prove the Caccioppoli inequalities with Orlicz norms for solutions to the non-homogeneous A-harmonic equation. Our results can be considered as generalizations of the existing versions of the Caccioppoli inequalities. We will also explore applications in harmonic analysis and partial differential equations.

Original language	English
Pages (from-to)	1109-1119
Number of pages	11
Journal	Nonlinearity
Volume	23
Issue number	5
DOIs	https://doi.org/10.1088/0951-7715/23/5/005
State	Published - 2010

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title = "Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications",

abstract = "We prove the Caccioppoli inequalities with Orlicz norms for solutions to the non-homogeneous A-harmonic equation. Our results can be considered as generalizations of the existing versions of the Caccioppoli inequalities. We will also explore applications in harmonic analysis and partial differential equations.",

author = "Yuming Xing and Shusen Ding",

year = "2010",

doi = "10.1088/0951-7715/23/5/005",

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AU - Xing, Yuming

AU - Ding, Shusen

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N2 - We prove the Caccioppoli inequalities with Orlicz norms for solutions to the non-homogeneous A-harmonic equation. Our results can be considered as generalizations of the existing versions of the Caccioppoli inequalities. We will also explore applications in harmonic analysis and partial differential equations.

AB - We prove the Caccioppoli inequalities with Orlicz norms for solutions to the non-homogeneous A-harmonic equation. Our results can be considered as generalizations of the existing versions of the Caccioppoli inequalities. We will also explore applications in harmonic analysis and partial differential equations.

UR - https://www.scopus.com/pages/publications/77951133104

U2 - 10.1088/0951-7715/23/5/005

DO - 10.1088/0951-7715/23/5/005

M3 - 文章

AN - SCOPUS:77951133104

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VL - 23

SP - 1109

EP - 1119

JO - Nonlinearity

JF - Nonlinearity

IS - 5

ER -

Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications

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