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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/120123

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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
Appears in Collections:	[應用數學系] 期刊論文

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