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

DOI10.1016/J.JMAA.2006.11.013zbMath1160.34012OpenAlexW2009121430WikidataQ57363406 ScholiaQ57363406MaRDI QIDQ884360

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

Publication date: 6 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.11.013

zbMATH Keywords

existenceuniquenessapproximationunbounded domainboundary value problemPoisson-Boltzmann equationcontinuation theorem for contractions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

Boundary value problems with solutions in convex sets

Cites Work

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• Iterative approximation for a boundary value problem arising for the electrical potential on a cylindrical double layer
• Contributions to the spectral theory for nonlinear operators in Banach spaces
• Continuation method for contractive maps
• Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings
• The fixed point index for local condensing maps
• Degree theory for local condensing maps
• LIMIT-COMPACT AND CONDENSING OPERATORS

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