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

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  • Yong-Hoon Lee
  • Seong-Uk Kim
  • Eun Kyoung Lee

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.

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  • Yong-Hoon Lee & Seong-Uk Kim & Eun Kyoung Lee, 2014. "Three Solutions Theorem for -Laplacian Problems with a Singular Weight and Its Application," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, February.
    • Handle: RePEc:hin:jnlaaa:502756
    DOI: 10.1155/2014/502756
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