Existence and Nonexistence of Positive Solutions to a Singular $p$-Laplacian Differential Equation |
Received:March 28, 2009 Revised:July 03, 2009 |
Key Words:
$p$-Laplacian singularity positive solution existence nonexistence.
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Abstract: |
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. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2010.04.009 |
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