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

Christos Sourdis

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arXiv · 1801.08105

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

Christos Sourdis

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Abstract

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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Christos Sourdis. 2018-01-24. Matched asymptotics for large solutions to the Gelfand-Liouville problem in two-dimensional, doubly connected domains. https://arxiv.org/abs/1801.08105

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