Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

An evolutionary weighted $ p$-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
DOI: https://doi.org/10.1090/S0033-569X-08-01106-7
Published electronically: March 12, 2008
MathSciNet review: 2416776
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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

DOI: https://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.

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