Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18697
Title: | Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$ |
Author: | Aizicovici, S. Papageorgiou, N. S. Staicu, V. |
Keywords: | Asymmetric reaction Nonhomogeneous differential opertator C-condition Critical groups Homotopy equivalent mountain pass theorem |
Issue Date: | 2013 |
Publisher: | American Romanian Academy |
Abstract: | We consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-1\right) -$ sublinear near $-\infty$. A particular case of our problem is that of periodic equations with the scalar $p-$ Laplacian and an asymmetric nonlinearity. Using variational methods and Morse theory, we prove the existence of at least three nontrivial solutions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18697 |
ISSN: | 2182-567X |
Publisher Version: | http://system.lm-ns.org/index.php/lm-ns/article/view/48 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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APSPaper_LMNS_33(2013)_27-56.pdf | Documento principal | 291.53 kB | Adobe PDF | View/Open |
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