Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15119
Title: | Periodic problems with a reaction of arbitrary growth |
Author: | Aizicovici, S. Papageorgiou, N. S. Staicu, Vasile |
Keywords: | Constant sign and nodal solutions Critical groups Homotopy invariance Nonconstant zeros Resonance |
Issue Date: | 2015 |
Publisher: | Yokohama Publishers |
Abstract: | We consider nonlinear periodic equations driven by the scalar p-Laplacian and with a Carath eodory reaction which does not satisfy a global growth condition. Using truncation-perurbation techniques, variational methods and Morse theory, we prove a "three solutions theorem", providing sign information for all the solutions. In the semilinear case (p = 2), we produce a second nodal solution, for a total of four nontrivial solutions. We also cover problems which are resonant at zero. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15119 |
ISSN: | 1345-4773 |
Publisher Version: | http://www.ybook.co.jp/online-p/JNCA/Open/16/jncav16n6p985-oa/FLASH/index.html |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P69_JNCA_16(2015)_985-1011.pdf | artigo original | 162.86 kB | Adobe PDF | View/Open |
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