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THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

Published online by Cambridge University Press:  02 August 2005

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

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Papers
Copyright
© The London Mathematical Society 2005

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