Some caccioppoli estimates for differential forms

Gejun Bao; Zhenhua Cao; Yuming Xing; Ronglu Li

doi:10.1155/2009/734528

Some caccioppoli estimates for differential forms

Gejun Bao^*
, Zhenhua Cao
, Yuming Xing
, Ronglu Li

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

4 Scopus citations

Abstract

We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A -harmonic equation d A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation div A(x,u,u)=B(x,u,u). We will also give some examples to see that not all properties of functions may be deduced to differential forms.

Original language	English
Article number	734528
Journal	Journal of Inequalities and Applications
Volume	2009
DOIs	https://doi.org/10.1155/2009/734528
State	Published - 2009

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title = "Some caccioppoli estimates for differential forms",

abstract = "We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A -harmonic equation d A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation div A(x,u,u)=B(x,u,u). We will also give some examples to see that not all properties of functions may be deduced to differential forms.",

author = "Gejun Bao and Zhenhua Cao and Yuming Xing and Ronglu Li",

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doi = "10.1155/2009/734528",

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T1 - Some caccioppoli estimates for differential forms

AU - Bao, Gejun

AU - Cao, Zhenhua

AU - Xing, Yuming

AU - Li, Ronglu

PY - 2009

Y1 - 2009

N2 - We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A -harmonic equation d A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation div A(x,u,u)=B(x,u,u). We will also give some examples to see that not all properties of functions may be deduced to differential forms.

AB - We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A -harmonic equation d A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation div A(x,u,u)=B(x,u,u). We will also give some examples to see that not all properties of functions may be deduced to differential forms.

UR - https://www.scopus.com/pages/publications/69449085489

U2 - 10.1155/2009/734528

DO - 10.1155/2009/734528

M3 - 文章

AN - SCOPUS:69449085489

SN - 1025-5834

VL - 2009

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 734528

ER -

Some caccioppoli estimates for differential forms

Abstract

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