Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-01-05 DOI:10.1186/s13661-023-01816-0

Jianwen Zhou, Yueting Yang, Wenbo Wang

引用次数: 0

Abstract

In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show that this energy is strictly larger than twice the ground energy.

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基尔霍夫型变阶分数拉普拉斯问题的符号变化解

本文关注涉及临界指数和对数非线性的基尔霍夫型变阶分数拉普拉斯问题。通过使用约束变分法，我们证明了一个能量最小的符号变化解的存在。此外，我们还证明了该能量严格大于地面能量的两倍。

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

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.