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Rupture solutions of an elliptic equation with a singular nonlinearity

Published online by Cambridge University Press:  03 October 2014

Zongming Guo  and
Juncheng Wei
Zongming Guo
Affiliation:
Department of Mathematics, Henan Normal University, Xinxiang 453007, People's Republic of China, (gzm@htu.cn)
Juncheng Wei
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong Department of Mathematics, University of British Columbia, Vancouver, BC V6P 1Z2, Canada, (wei@math.cuhk.edu.hk)
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Abstract

We obtain infinitely many non-radial rupture solutions of the equation

with

by constructing infinitely many radially symmetric regular solutions of the equation on SN−1:

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 5 , October 2014 , pp. 905 - 924
Copyright
Copyright © Royal Society of Edinburgh 2014 

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