| Title:
|
Periodic solutions for systems with nonsmooth and partially coercive potential (English) |
| Author:
|
Filippakis, Michael E. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
225-232 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider nonlinear periodic systems driven by the one-dimensional $p$-Laplacian and having a nonsmooth locally Lipschitz potential. Using a variational approach based on the nonsmooth Critical Point Theory, we establish the existence of a solution. We also prove a multiplicity result based on a nonsmooth extension of the result of Brezis-Nirenberg (Brezis, H., Nirenberg, L., Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), 939–963.) due to Kandilakis-Kourogenis-Papageorgiou (Kandilakis, D., Kourogenis, N., Papageorgiou, N., Two nontrivial critical point for nosmooth functional via local linking and applications, J. Global Optim., to appear.). (English) |
| Keyword:
|
locally linking Lipschitz function |
| Keyword:
|
generalized subdifferential |
| Keyword:
|
nonsmooth critical point theory |
| Keyword:
|
nonsmooth Palais-Smale condition |
| Keyword:
|
$p$-Laplacian |
| Keyword:
|
periodic system |
| MSC:
|
34A60 |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| MSC:
|
47J30 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1164.34319 |
| idMR:
|
MR2260380 |
| . |
| Date available:
|
2008-06-06T22:48:08Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108000 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
