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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM
Institution:Ruipeng Chen , Yanqiong Lu (Dept. of Math., Northwest Normal University, Lanzhou 730070)
Abstract:In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’s fixed point theorem in cones.
Keywords:Krasnosel’skii’s fixed point theorem in cones  semipositone Neumann boundary value problems  positive solutions  multiplicity
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