Abstract
We consider a type of elliptic problem of Ambrosetti–Prodi type with the subcritical Sobolev exponent. Based on the local type of Pohozaev identities, we prove the uniqueness for multi-bump solutions constructed by Dancer and Yan [J. Differ. Equations 210, 317–351 (2005)]. As a consequence, we obtain the local uniqueness for the problem of Ambrosetti–Prodi type.
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