Applied Mathematics Letters ( IF 3.848 ) Pub Date : 2020-07-27 , DOI: 10.1016/j.aml.2020.106648
Lei Ding; Mingzheng Sun; Rushun Tian

In this paper, we consider the Ambrosetti–Prodi type equation, that is, the nonlinearity $f$ is asymptotically linear at $-\infty$, while $f$ is superlinear at $+\infty$. Under weak conditions, we can obtain three nontrivial solutions by Morse theory.

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