具有临界非线性的摄动分数阶p-Kirchhoff问题

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2022-10-03 DOI:10.3233/asy-221809

Luigi Appolloni, A. Fiscella, S. Secchi

引用次数: 1

摘要

我们考虑一个由p-Kirchhoff分数算子控制的拟线性偏微分方程。利用变分方法，我们证明了关于解的存在性及其对某些参数的稳定性的几个结果。

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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A perturbed fractional p-Kirchhoff problem with critical nonlinearity

We consider a quasilinear partial differential equation governed by the p-Kirchhoff fractional operator. By using variational methods, we prove several results concerning the existence of solutions and their stability properties with respect to some parameters.

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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.