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THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

Published online by Cambridge University Press:  02 August 2005

JIAQUAN LIU  and
SHIBO LIU
JIAQUAN LIU
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. Chinajiaquan@math.pku.edu.cn, liusb@math.pku.edu.cn
SHIBO LIU
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. Chinajiaquan@math.pku.edu.cn, liusb@math.pku.edu.cn
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Abstract

Using Morse theory and the truncation technique, a proof is given of the existence of at least three nontrivial solutions for a class of $p$-Laplacian equations. When $p=2$, the existence of four nontrivial solutions is also considered.

Keywords

35J6558E05

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 4 , August 2005 , pp. 592 - 600
Copyright
© The London Mathematical Society 2005

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