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A global multiplicity result for two-point boundary value problems of p-Laplacian systems

A global multiplicity result for two-point boundary value problems of p-Laplacian systems
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摘要 In this paper,we consider the existence,nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters.For proofs,we mainly make use of the upper and lower solution method and the fixed point index theorem.To obtain a global multiplicity result,we construct a weighted space to benefit richer topology of the solution space than C 0-space. In this paper,we consider the existence,nonexistence and multiplicity of positive solutions for two-point boundary value problems of p-Laplacian systems which have a singular indefinite weight and real multiparameters.For proofs,we mainly make use of the upper and lower solution method and the fixed point index theorem.To obtain a global multiplicity result,we construct a weighted space to benefit richer topology of the solution space than C 0-space.
作者 LEE Eun Kyoung LEE Yong-Hoon
机构地区 Department of Mathematics
出处 《Science China Mathematics》 SCIE 2010年第4期967-984,共18页 中国科学：数学（英文版）
基金 supported by the Korea Research Foundation Grant (Grant No.KRF-2008-314-C00024)
关键词 P-LAPLACIAN system SINGULAR INDEFINITE weight multiparameters UPPER SOLUTION and lower SOLUTION fixed point index THEOREM weighted space p-Laplacian system singular indefinite weight multiparameters upper solution and lower solution fixed point index theorem weighted space
分类号 O177.6 [理学—基础数学]
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参考文献14

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Science China Mathematics
2010年 第4期

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