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A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer |
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| Authors: | Jürgen Appell |
| Institution: | a University of Würzburg, Department of Mathematics, Am Hubland, D-97074 Würzburg, Germany b Tunghai University, Department of Mathematics, Taichung 407, Taiwan, ROC c Tamkang University, Department of Mathematics, Tamsui, Taipei 25137, Taiwan, ROC |
| 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. |
| Keywords: | Poisson-Boltzmann equation Electric potential distribution Contraction mapping principle Continuation theorem Leray-Schauder alternative Modified Bessel functions Weighted function space |
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