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POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM

POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM
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摘要 By constructing an explicit Green function and using the fixed point index theory on a cone, we present some existence results of positive solutions to a class of second-order singular semipositive Neumann boundary value problem, where the nonlinear term is allowed to be nonnegative and unbounded. By constructing an explicit Green function and using the fixed point index theory on a cone, we present some existence results of positive solutions to a class of second-order singular semipositive Neumann boundary value problem, where the nonlinear term is allowed to be nonnegative and unbounded.
出处 《Annals of Differential Equations》 2010年第3期284-291,共8页 微分方程年刊(英文版)
基金 supported by the National Natural Science Foundation of China (No.10626029 No.10701040) Natural Science Foundation of Jiangxi Province (No.2009GQS0007) Educational Department of Jiangxi Province (No.JJ0946) Jiangxi University of Finance and Economics(No.JXCDJG0813)
关键词 fixed point index theory singular Neumann boundary value problem positive solutions first positive eigenvalue fixed point index theory singular Neumann boundary value problem positive solutions first positive eigenvalue
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