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arxiv: 1801.08105 · v1 · pith:TTGZBATYnew · submitted 2018-01-24 · 🧮 math.AP

Matched asymptotics for large solutions to the Gelfand-Liouville problem in two-dimensional, doubly connected domains

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keywords problemconnecteddomainsdoublygelfand-liouvillelargematchedsolutions
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In this paper we provide a formal matched asymptotic analysis for large solutions to the Gelfand-Liouville problem in planar, doubly connected domains in the plane. Using these, we rigorously construct a good approximate solution to the problem.

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