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Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue

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Abstract.

Using Morse theory, we prove the existence of at least two solutions for some Dirichlet problems in which the nonlinearity crosses at least one eigenvalue between 0 and infinity.

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Received July 28, 1997

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Li, S., Willem, M. Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue. NoDEA, Nonlinear differ. equ. appl. 5, 479–490 (1998). https://doi.org/10.1007/s000300050058

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  • DOI: https://doi.org/10.1007/s000300050058

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