An evolutionary weighted -Laplacian with Neumann boundary value condition in a perforated domain

Authors:
Yuanyuan Ke, Jingxue Yin and Chunhua Jin

Journal:
Quart. Appl. Math. **66** (2008), 325-350

MSC (2000):
Primary 35D05, 35B05, 35B45, 35B40

Published electronically:
March 12, 2008

MathSciNet review:
2416776

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we study an evolutionary weighted -Laplacian with Neumann boundary value condition in a perforated domain. We discuss the removability of the orifice for the radially symmetric steady solution, the general steady solution and for the evolutionary solution of the problem considered.

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Additional Information

**Yuanyuan Ke**

Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130012, People’s Republic of China;
School of Mathematics $&$ Computational Science, Sun Yat-Sen University, Guangzhou 510275, People’s Republic of China

Email:
keyy@jlu.edu.cn

**Jingxue Yin**

Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130012, People’s Republic of China

Email:
yjx@jlu.edu.cn

**Chunhua Jin**

Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130012, People’s Republic of China

Email:
jinchhua@126.com

DOI:
http://dx.doi.org/10.1090/S0033-569X-08-01106-7

Keywords:
Evolutionary weighted $p$-Laplacian,
perforated domain,
orifice

Received by editor(s):
July 13, 2006

Published electronically:
March 12, 2008

Additional Notes:
This work is partially supported by NNSF of China, partially supported by NSFGD-06300481, partially supported by a Specific Foundation for Ph.D. Specialities of Educational Department of China, and partially supported by 985 Projects

Corresponding author. email: jinchhua@126.com

Article copyright:
© Copyright 2008
Brown University

The copyright for this article reverts to public domain 28 years after publication.