rn中具有卷积项的双相Kirchhoff问题多凸解的存在性和多重性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-01-25 DOI:10.3233/asy-231827

Shuaishuai Liang, S. Shi

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引用次数: 0

摘要

本文研究了一类在RN中具有卷积项的（p，q）Kirchhoff型问题。通过对势函数V和卷积项f的适当假设，结合惩罚技术、Morse迭代法和变分法，得到了该问题多凸点解的存在性和多重性。在某种意义上，我们的结果也推广了一些已知的结果。

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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Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N

In this paper, we study a class of the ( p , q ) Kirchhoff type problems with convolution term in R N . With the appropriate assumptions on potential function V and convolution term f, together with the penalization techniques, Morse iterative method and variational method, the existence and multiplicity of multi-bump solutions are obtained for this problem. In some sense, our results also generalize some known results.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.