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摘要
We prove an Ambrosetti-Prodi type result for a Neumann problem associated to the equation u" + f (x; u (x)) = mu when the nonlinearity has the following form: f (x; u) := a (x) g (u) p (x). The assumptions considered generalize the classical one, f (x; u) -> + infinity as vertical bar u vertical bar -> + infinity, without requiring any uniformity condition in x. The multiplicity result which characterizes these kind of problems will be proved by means of the shooting method.
- 出版日期2018-4
