Iterative approximation for a boundary value problem arising for the electrical potential on a cylindrical double layer

DOI10.4171/ZAA/1355zbMath1165.35049OpenAlexW2063360883MaRDI QIDQ936160

Martin Väth, Jürgen Appell, Chur-Jen Chen, Shiojenn Tseng

Publication date: 13 August 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=3&rank=2

zbMATH Keywords

contraction mapping principlemodified Bessel functionsweighted function spacesPoisson-Boltzmann equationelectric potential distribution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Electromagnetic theory (general) (78A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

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

Cites Work

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