| Title:
|
Existence of extremal periodic solutions for nonlinear evolution inclusions (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Author:
|
Yannakakis, Nikolaos |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
9-23 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a nonlinear evolution inclusion defined in the abstract framework of an evolution triple of spaces and we look for extremal periodic solutions. The nonlinear operator is only pseudomonotone coercive. Our approach is based on techniques of multivalued analysis and on the theory of operators of monotone-type. An example of a parabolic distributed parameter system is also presented. (English) |
| Keyword:
|
evolution triple |
| Keyword:
|
compact embedding |
| Keyword:
|
exremal solution |
| Keyword:
|
measurable multifunction |
| Keyword:
|
pseudomonotone map |
| Keyword:
|
Kadec-Klee property |
| Keyword:
|
parabolic equation |
| Keyword:
|
p-Laplacian |
| MSC:
|
34C25 |
| MSC:
|
34G20 |
| MSC:
|
34G25 |
| MSC:
|
35K55 |
| MSC:
|
35R70 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1090.34577 |
| idMR:
|
MR1822759 |
| . |
| Date available:
|
2008-06-06T22:28:04Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107781 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
|
[9] Papageorgiou N.S., Papalini F., Renzacci F.: Existence of solutions and periodic solutions for nonlinear evolution inclusions.Rend. Circ. Mat. Palermo, II. Ser. 48, No. 2 (1999), 341–364. Zbl 0931.34043, MR 1692926 |
| Reference:
|
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| Reference:
|
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| . |
