Three Solutions Theorem for p‐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, issue 1

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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https://doi.org/10.1155/2014/502756

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:502756

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