具有质量亚临界非线性的非自治Kirchhoff方程的多重归一化解

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-30 DOI:10.1016/j.aml.2025.109778

Rui Wang , Juntao Sun , Sofiane Khoutir , Han-Su Zhang

引用次数: 0

摘要

本文研究了一类在R3中具有非线性的Kirchhoff方程的归一化解的多重性，其中，λ >；0和4≤p<；14/3。我们探讨了解的数目和权函数h的形状之间的关系。

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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Multiple normalized solutions for non-autonomous Kirchhoff equations with mass-subcritical nonlinearity in R3

In this paper, we are concerned with the multiplicity of normalized solutions for a class of Kirchhoff equations with the nonlinearity

h (ɛ x) {| u |}^{p - 2} u

R^{3}

, where

ɛ > 0

and

4 \leq p < 14 / 3

. We explore the relationship between the number of solutions and the shape of the weight function

h

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.