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A note on a superlinear indefinite Neumann problem with multiple positive solutions
Authors:Alberto Boscaggin
Affiliation:SISSA-ISAS, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy
Abstract:We prove the existence of three positive solutions for the Neumann problem associated to u+a(t)uγ+1=0, assuming that a(t) has two positive humps and View the MathML source is large enough. Actually, the result holds true for a more general class of superlinear nonlinearities.
Keywords:Nonlinear boundary value problems   Indefinite weight   Positive solutions   Shooting method
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