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

Yong-HoonLee; Seong-UkKim; Eun KyoungLee

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

机译：具有奇异权重的三解定理Laplacian问题及其应用

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We prove Amann type three solutions theorem for one dimensionalp-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 anexterior domain.

机译：我们证明了具有奇异权重函数的一维p-Laplacian问题的Amann型三解定理。为了证明该定理，我们定义了一个强的上下解，并在一个新建立的加权解空间上计算了Leray-Schauder度。作为一种应用，我们考虑了燃烧模型，并在前域上显示了三个正径向解的存在。

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《Abstract and applied analysis》 |2014年第2期|共9页
作者
Yong-HoonLee; Seong-UkKim; Eun KyoungLee;
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1. Three Solutions Theorem forp-Laplacian Problems with a Singular Weight and Its Application [J] . Yong-HoonLee, Seong-UkKim, Eun KyoungLee Abstract and applied analysis . 2014,第2期

机译：具有奇异权重的三解定理Laplacian问题及其应用
2. A result on three solutions theorem and its application to p-Laplacian systems with singular weights [J] . Eun K Lee, Yong-Hoon Lee Boundary value problems . 2012,第1期

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3. An extrapolation theorem with applications to weighted estimates for singular integrals [J] . Lerner A.K., Ombrosi S. Journal of Functional Analysis . 2012,第10期

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4. Index theorems for relatively strictly singular perturbations of infinitesimal generators and their application to stabilizability problems [C] . Knowles, G. . 1990

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7. A result on three solutions theorem and its application to p-Laplacian systems with singular weights [O] . Eun Lee, Yong-Hoon Lee 2012

机译：三种解定理的结果及其在奇异p-Laplacian系统中的应用

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

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