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Multiple solutions for some Neumann problems in exterior domains

Published online by Cambridge University Press:  17 April 2009

Tsing-San Hsu  and
Huei-Li Lin
Tsing-San Hsu
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, e-mail: hlin@mail.cgu.edu.tw
Huei-Li Lin
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, e-mail: hlin@mail.cgu.edu.tw
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In this paper, we show that if q(x) satisfies suitable conditions, then the Neumann problem -Δu+u = q(x)ⅠuⅠp−2u in Ω has at least two solutions of which one is positive and the other changes sign.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 353 - 364
Copyright
Copyright © Australian Mathematical Society 2006

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