| Title:
|
The Neumann problem for quasilinear differential equations (English) |
| Author:
|
Cardinali, Tiziana |
| Author:
|
Papageorgiou, Nikolaos S. |
| Author:
|
Servadei, Raffaella |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
321-333 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we prove the existence of extremal solutions of the quasilinear Neumann problem $-( \vert x^{^{\prime }}(t) \vert ^{p-2}x^{^{\prime }}(t))^{^{\prime }} = f(t,x(t),x ^{^{\prime }}(t))$, a.e. on $T$, $x^{^{\prime }}(0) = x^{^{\prime }}(b) =0$, $2\le p < \infty $ in the order interval $[\psi ,\varphi ]$, where $\psi $ and $\varphi $ are respectively a lower and an upper solution of the Neumann problem. (English) |
| Keyword:
|
upper solution |
| Keyword:
|
lower solution |
| Keyword:
|
order interval |
| Keyword:
|
truncation function |
| Keyword:
|
penalty function |
| Keyword:
|
pseudomonotone operator |
| Keyword:
|
coercive operator |
| Keyword:
|
Leray-Schauder principle |
| Keyword:
|
maximal solution |
| Keyword:
|
minimal solution |
| MSC:
|
34B15 |
| MSC:
|
35J25 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 1122.35030 |
| idMR:
|
MR2129954 |
| . |
| Date available:
|
2008-06-06T22:44:10Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107916 |
| . |
| Reference:
|
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