A note on a superlinear indefinite Neumann problem with multiple positive solutions |
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Authors: | Alberto Boscaggin |
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Affiliation: | SISSA-ISAS, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy |
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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 is large enough. Actually, the result holds true for a more general class of superlinear nonlinearities. |
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Keywords: | Nonlinear boundary value problems Indefinite weight Positive solutions Shooting method |
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