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EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS

Published online by Cambridge University Press:  23 December 2003

SHIBO LIU  and
SHUJIE LI
SHIBO LIU
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, P. R. Chinasliusb@amss.ac.cn
SHUJIE LI
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, P. R. Chinaslisj@math03.math.ac.cn
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Abstract

Under very general conditions, a proof is given, via Morse theory, of the existence of solutions for asymptotically ‘linear’ $p$-Laplacian equations, where the asymptotic limit may be greater than the second eigenvalue. The existence of nonzero solutions is also considered.

Keywords

35J6558E05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 81 - 87
Copyright
© The London Mathematical Society 2004

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