A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/41319

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Title:	A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer
Authors:	Appell, Jurgen;Chen, Chur-jen;曾琇瑱;Tseng, Shio-jenn;Martin, Vaeth
Contributors:	淡江大學數學學系
Keywords:	Poisson–Boltzmann equation;Electric potential distribution;Contraction mapping principle;Continuation theorem;Leray–Schauder alternative;Modified Bessel functions;Weighted function space
Date:	2007-08-15
Issue Date:	2010-01-28 07:18:04 (UTC+8)
Publisher:	Elsevier
Abstract:	Using a continuation theorem for contractions, the existence, uniqueness, and an approximation method for a class of nonlinear boundary value problems on an unbounded interval is obtained. The results apply in particular to the problem in the title.
Relation:	Journal of Mathematical Analysis and Applications 332(2), pp.1134-1147
DOI:	10.1016/j.jmaa.2006.11.013
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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