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Existence and Nonexistence of Positive Solutions to a Singular p-Laplacian Differential Equation

Existence and Nonexistence of Positive Solutions to a Singular p-Laplacian Differential Equation
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摘要 In this paper we give a necessary and sufficient condition for the existence of positive solutions for the one-dimensional singular p-Laplacian differential equation. The methods used to show existence rely on upper-lower solutions method and compactness techniques, while the methods used to prove nonexistence are based on monotone techniques and scaling arguments. In this paper we give a necessary and sufficient condition for the existence of positive solutions for the one-dimensional singular p-Laplacian differential equation. The methods used to show existence rely on upper-lower solutions method and compactness techniques, while the methods used to prove nonexistence are based on monotone techniques and scaling arguments.
作者 Yu Ying ZHOU
机构地区 School of Basic Science
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第4期643-652,共10页 数学研究与评论（英文版）
关键词 P-LAPLACIAN SINGULARITY positive solution existence nonexistence. p-Laplacian singularity positive solution existence nonexistence.
分类号 O175.7 [理学—基础数学]
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Journal of Mathematical Research and Exposition
2010年 第4期

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