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https://ah.lib.nccu.edu.tw/handle/140.119/120123
題名: | Multiple solutions of nonlinear integro-differential equations | 作者: | 蔡隆義 Tsai, Long-Yi |
貢獻者: | 應數系 | 日期: | 1989 | 上傳時間: | 25-Sep-2018 | 摘要: | 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. | 關聯: | Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141 AMS MathSciNet:MR1042424 |
資料類型: | article |
Appears in Collections: | 期刊論文 |
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