Skip Navigation

Bulletin of the London Mathematical Society 2004 36(1):81-87; doi:10.1112/S0024609303002546
© 2004 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Liu, S.
Right arrow Articles by Li, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© London Mathematical Society

Existence of Solutions for Asymptotically ‘Linear’ p-Laplacian Equations

Shibo Liu and Shujie Li

Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica Beijing 100080, P. R. Chinas; liusb{at}amss.ac.cn, lisj{at}math03.math.ac.cn

Received 1 October 2002.

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. 2000 Mathematics Subject Classification 35J65, 58E05.

The first author was supported by the National Natural Science Foundation of China and the Natural Science Foundation of Beijing (1022003). The second author was supported by the 973 National Natural Sciences Foundation of China and the Foundation of the Chinese Academy of Sciences.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.