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2009 Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity
Qiying Wei, You-Hui Su, Subei Li, Xing-Xue Yan
Abstr. Appl. Anal. 2009: 1-21 (2009). DOI: 10.1155/2009/512402

Abstract

By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an m-point singular p-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=) and difference equations (𝕋=), as well as in general time scales setting. As an application, an example is given to illustrate the results.

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Qiying Wei. You-Hui Su. Subei Li. Xing-Xue Yan. "Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity." Abstr. Appl. Anal. 2009 1 - 21, 2009. https://doi.org/10.1155/2009/512402

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1168.47059
MathSciNet: MR2516004
Digital Object Identifier: 10.1155/2009/512402

Rights: Copyright © 2009 Hindawi

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