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

Author(s): Yuanyuan Ke; Jingxue Yin; Chunhua Jin
Journal: Quart. Appl. Math. 66 (2008), 325-350.
MSC (2000): Primary 35D05, 35B05, 35B45, 35B40
Posted: March 12, 2008
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Abstract: In this paper, we study an evolutionary weighted $ p$-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

PII: S0033-569X-08-01106-7
Keywords: Evolutionary weighted $p$-Laplacian, perforated domain, orifice
Received by editor(s): July 13, 2006
Posted: 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
Copyright of article: Copyright 2008, Brown University
The copyright for this article reverts to public domain after 28 years from publication.


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