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Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p-Laplacian Elliptic System
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 351–358·Published 24 November 2011·DOI10.4236/apm.2011.16063
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Abstract
In this paper, we show the existence and nonexistence of entire positive solutions for a class of singular elliptic system We have that entire large positive solutions fail to exist if f and g are sublinear and b and d have fast decay at infinity. However, if f and g satisfy some growth conditions at infinity, and b, d are of slow decay or fast decay at infinity, then the system has infinitely many entire solutions, which are large or bounded.
KeywordsSingular p-Laplacian Elliptic SystemEntire Positive SolutionLarge SolutionBounded SolutionEntire Large Positive Radial Solution
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