包含临界非线性的分数阶Schrödinger-Kirchhoff系统的多重性结果

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0318

Soraya Fareh, K. Akrout, A. Ghanmi, Dušan D. Repovš

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引用次数: 5

摘要

摘要在这篇文章中，我们研究了某些临界Schrödinger-Kirchhoff型系统，这些系统涉及有界域上的分数阶p-Laplace算子。更准确地说，利用Nehari流形集上相关函数能的性质，并利用纤维映射的分析，我们建立了这类系统的多重解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

Abstract In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional p p -Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.