Three Solutions Theorem for -Laplacian Problems with a Singular Weight and Its Application

Yong-Hoon Lee, Seong-Uk Kim and Eun Kyoung Lee

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We prove Amann type three solutions theorem for one dimensional p -Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:502756

DOI: 10.1155/2014/502756

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