three solutions theorem for p-laplacian problems with a singular weight and its application
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2014
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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.
| Reference Key |
lee2014abstractthree
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|---|---|
| Authors | ;Yong-Hoon Lee;Seong-Uk Kim;Eun Kyoung Lee |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/502756
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| URL | |
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