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| Field |
Value |
| Title: | Multiple solutions of nonlinear integro-differential equations |
| Authors: | 蔡隆義
Tsai, Long-Yi |
| Contributors: | 應數系 |
| Date: | 1989 |
| Issue Date: | 2018-09-25 16:21:36 (UTC+8) |
| Abstract: | The paper deals with the boundary value problem (1) $-\Delta u=f(x,u,K(u))$ in $\Omega$, (2) $u=g$ on $\partial\Omega$, where $\Omega\subset{\bf R}^n$, $n\geq 2$, is a bounded domain and $K(u)$ a nonlinear integral operator. The main attention of the author is concentrated on the existence of multiple solutions of the problem considered. By the constructive method the existence of a maximal (minimal) solution is proved, by an application of a variational equation the existence of multiple solutions is proved, and by an application of the topological degree arguments the existence of a multiple positive solution is proved. The paper contains some misprints and unclear statements. |
| Relation: | Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141
AMS MathSciNet:MR1042424 |
| Data Type: | article |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | |
| dc.creator (Authors) | 蔡隆義 | |
| dc.creator (Authors) | Tsai, Long-Yi | |
| dc.date (Date) | 1989 | |
| dc.date.accessioned | 2018-09-25 16:21:36 (UTC+8) | - |
| dc.date.available | 2018-09-25 16:21:36 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2018-09-25 16:21:36 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/120123 | - |
| dc.description.abstract (Abstract) | The paper deals with the boundary value problem (1) $-\Delta u=f(x,u,K(u))$ in $\Omega$, (2) $u=g$ on $\partial\Omega$, where $\Omega\subset{\bf R}^n$, $n\geq 2$, is a bounded domain and $K(u)$ a nonlinear integral operator. The main attention of the author is concentrated on the existence of multiple solutions of the problem considered. By the constructive method the existence of a maximal (minimal) solution is proved, by an application of a variational equation the existence of multiple solutions is proved, and by an application of the topological degree arguments the existence of a multiple positive solution is proved. The paper contains some misprints and unclear statements. | en_US |
| dc.format.extent | 161 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (Relation) | Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141 | |
| dc.relation (Relation) | AMS MathSciNet:MR1042424 | |
| dc.title (Title) | Multiple solutions of nonlinear integro-differential equations | |
| dc.type (Data Type) | article | |
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