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On the approximation solvability of a class of strongly nonlinear elliptic problems on unbounded domains

✍ Scribed by Michael D. Marcozzi

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 176 KB
Volume: 52
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(02)00111-6

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✦ Synopsis

A class of strongly nonlinear boundary value problems posed on unbounded regions is considered. A nonlocal coupling of the linearized far-ÿeld exterior to an auxiliary boundary allows for approximations to be deÿned on domains of ÿnite extent. Constructive existence results for bounded domains are then extended by employing an exhausting sequence of approximating domains. In particular, well-posedness is seen to be equivalent to unique approximation solvability, with the rate of convergence dependent upon the radius of the auxiliary boundary. Application to a model of proteins immersed in an electrolyte solution is made.

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