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Some properties of weak solutions to the weighted p-Laplacian near an isolated singular point

Published online by Cambridge University Press:  20 March 2014

Jingxue Yin  and
Huijuan Song
Jingxue Yin
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People's Republic of China
Huijuan Song
Affiliation:
College of Mathematics and Informational Science, Jiangxi Normal University, Nanchang 330022, People's Republic of China, ([email protected])
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Abstract

We study the weighted p-Laplacian with an isolated singular point, and discuss some properties of solutions near such a point, including removable singularities, boundedness and growth rate estimates. In particular, some relevant critical exponents are exactly determined.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 395 - 425
Copyright
Copyright © Royal Society of Edinburgh 2014 

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