Open Access Research Article

Existence and Nonexistence of Positive Solutions for Singular -Laplacian Equation in

Caisheng Chen*, Zhenqi Wang and Fengping Wang

Author Affiliations

Department of Mathematics, Hohai University, Nanjing, Jiangsu 210098, China

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Boundary Value Problems 2010, 2010:607453  doi:10.1155/2010/607453

Published: 15 December 2010

Abstract

We study the existence and nonexistence of solutions for the singular quasilinear problem , , , , , where , and behave like and with at the origin. We obtain the existence by the upper and lower solution method and the nonexistence by the test function method.