涉及Hardy-Sobolev指数的奇异p-双调和问题

Pub Date : 2023-09-18 DOI:10.58997/ejde.2023.61

Amor Drissi, Abdeljabbar Ghanmi, Dusan D. Repovs

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引用次数: 2

摘要

本文讨论了Hardy势和临界Hardy- sobolev指数的奇异p -双调和问题的存在性结果。更准确地说，我们利用变分方法结合山口定理和Ekeland变分原理，建立了解的存在性和多重性。为了说明我们的结果的有用性，还给出了一个说明性的例子。

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Singular p-biharmonic problems involving the Hardy-Sobolev exponent

This paper is concerned with existence results for the singular $p$-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. More precisely, by using variational methods combined with the Mountain pass theorem and the Ekeland variational principle, we establish the existence and multiplicity of solutions. To illustrate the usefulness of our results, an illustrative example is also presented.

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