Abstract.
We shall present a new version of a recently appeared theorem for the existence and localization of solutions of the Neumann problem associated to the equation \( -u^{\prime\prime} + u = \beta(t)g(u) \), based on a general variational principle by Ricceri. Our study will be especially aimed to express a certain hypothesis regarding the function g in its sharpest form, and a ‘limit case’ is enquired by an approximation
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Received: 7 July 2003
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Iannizzotto, A. A sharp existence and localization theorem for a Neumann problem. Arch. Math. 82, 352–360 (2004). https://doi.org/10.1007/s00013-003-0604-8
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DOI: https://doi.org/10.1007/s00013-003-0604-8