Infinitely many solutions for a class of p-Kirchhoff-type equations with critical exponent

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-05-21 DOI:10.1007/s43034-025-00439-z

L. C. Paes-Leme, E. M. Martins, M. R. Marcial, W. M. Ferreira

引用次数: 0

Abstract

In this paper, we consider a class of p-Kirchhoff-type problem with critical exponent. Using Krasnoselskii’s genus theory and the concentration-compactness principle, due to Lions, we demonstrate the existence of infinitely many solutions.

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一类具有临界指数的p- kirchhoff型方程的无穷多解

本文考虑一类具有临界指数的p- kirchhoff型问题。利用Krasnoselskii的属理论和由于狮子的集中紧致原理，证明了无穷多个解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.