Weak solutions for A-Dirac equations with variable growth in clifford analysis

Binlin Zhang; Yongqiang Fu

Weak solutions for A-Dirac equations with variable growth in clifford analysis

Binlin Zhang^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

9 Scopus citations

Abstract

In this article we show the existence of weak solutions for obstacle problems for A-Dirac equations with variable growth in the setting of variable exponent spaces of Clifford-valued functions. We also obtain the existence of weak solutions to the scalar part of A-Dirac equations in space W^1,p(x)₀ (Ω,Cl_n).

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2012
State	Published - 17 Dec 2012

Keywords

A-Dirac equation
Clifford analysis
Obstacle problem
Variable exponent

Cite this

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title = "Weak solutions for A-Dirac equations with variable growth in clifford analysis",

abstract = "In this article we show the existence of weak solutions for obstacle problems for A-Dirac equations with variable growth in the setting of variable exponent spaces of Clifford-valued functions. We also obtain the existence of weak solutions to the scalar part of A-Dirac equations in space W1,p(x)0 (Ω,Cln).",

keywords = "A-Dirac equation, Clifford analysis, Obstacle problem, Variable exponent",

author = "Binlin Zhang and Yongqiang Fu",

year = "2012",

month = dec,

day = "17",

language = "英语",

volume = "2012",

journal = "Electronic Journal of Differential Equations",

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publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Weak solutions for A-Dirac equations with variable growth in clifford analysis

AU - Zhang, Binlin

AU - Fu, Yongqiang

PY - 2012/12/17

Y1 - 2012/12/17

N2 - In this article we show the existence of weak solutions for obstacle problems for A-Dirac equations with variable growth in the setting of variable exponent spaces of Clifford-valued functions. We also obtain the existence of weak solutions to the scalar part of A-Dirac equations in space W1,p(x)0 (Ω,Cln).

AB - In this article we show the existence of weak solutions for obstacle problems for A-Dirac equations with variable growth in the setting of variable exponent spaces of Clifford-valued functions. We also obtain the existence of weak solutions to the scalar part of A-Dirac equations in space W1,p(x)0 (Ω,Cln).

KW - A-Dirac equation

KW - Clifford analysis

KW - Obstacle problem

KW - Variable exponent

UR - https://www.scopus.com/pages/publications/84871701397

M3 - 文章

AN - SCOPUS:84871701397

SN - 1550-6150

VL - 2012

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Weak solutions for A-Dirac equations with variable growth in clifford analysis

Abstract

Keywords

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