Abstract

In this paper we present the case of an eigenvalue-type problem involving the p-Laplace operator, studied on an exterior domain, which possesses, on the one hand, a continuous family of eigenvalues and, on the other hand, at least one more eigenvalue which is isolated in the set of eigenvalues of that problem.

中文翻译：

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一个涉及外域 p-Laplace 算子的特征值类型问题

摘要

在本文中，我们介绍了一个涉及p -Laplace 算子的特征值类型问题的情况，该问题在一个外部域上进行了研究，该域一方面具有一个连续的特征值族，另一方面至少还有一个在该问题的特征值集中孤立的特征值。