| Title:
|
Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions (English) |
| Author:
|
Boussandel, Sahbi |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
63 |
| Issue:
|
5 |
| Year:
|
2018 |
| Pages:
|
523-539 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is devoted to the study of the existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces involving anti-periodic boundary conditions. Our approach in this study relies on the theory of monotone and maximal monotone operators combined with the Schaefer fixed-point theorem and the monotonicity method. We apply our abstract results in order to solve a diffusion equation of Kirchhoff type involving the Dirichlet $p$-Laplace operator. (English) |
| Keyword:
|
existence of solutions |
| Keyword:
|
anti-periodic |
| Keyword:
|
monotone operator |
| Keyword:
|
maximal monotone operator |
| Keyword:
|
Schaefer fixed-point theorem |
| Keyword:
|
monotonicity method |
| Keyword:
|
diffusion equation |
| MSC:
|
35K10 |
| MSC:
|
35K55 |
| MSC:
|
35K57 |
| MSC:
|
35K59 |
| MSC:
|
35K90 |
| MSC:
|
47J35 |
| idZBL:
|
Zbl 06986924 |
| idMR:
|
MR3870147 |
| DOI:
|
10.21136/AM.2018.0136-18 |
| . |
| Date available:
|
2018-10-23T06:57:00Z |
| Last updated:
|
2020-11-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147412 |
| . |
| Reference:
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