Department of Applied Mathematics
National University of Kaohsiung
Kaohsiung 811, Taiwan
email: d0984103@mail.nuk.edu.tw
Department of Applied Mathematics
National University of Kaohsiung
Kaohsiung 811, Taiwan
email: tfwu@nuk.edu.tw
Yi-Hsin Cheng, Tsung-Fang Wu
Abstract:
In this article, we study a class of indefinite semilinear elliptic problems
in R^N. By using the fibering maps and studying some properties
of the Nehari manifold, we obtain the existence and multiplicity
of positive solutions.
Submitted October 18, 2013. Published April 11 2014.
Math Subject Classifications: 35J20, 35J61.
Key Words: Ground state solutions; multiple positive solutions; Nehari manifold;
variational method
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Yi-Hsin Cheng Department of Applied Mathematics National University of Kaohsiung Kaohsiung 811, Taiwan email: d0984103@mail.nuk.edu.tw |
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Tsung-Fang Wu Department of Applied Mathematics National University of Kaohsiung Kaohsiung 811, Taiwan email: tfwu@nuk.edu.tw |
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