In this paper, we will study the local uniqueness of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type with critical growth in a unit ball. As a result, we are able to count the exact number of single bubbling solutions for these type of elliptic problems.

中文翻译：

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Ambrosetti–Prodi型椭圆问题的单次气泡解决方案的确切数目

在本文中，我们将研究在单位球中具有临界增长的Ambrosetti–Prodi型椭圆问题的单个冒泡解决方案的局部唯一性。结果，对于这些类型的椭圆问题，我们能够计算出单个冒泡解决方案的确切数量。