涉及变阶分数阶拉普拉斯指数和临界指数的kirchhoff型问题的变符号解

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-03-28 DOI:10.15388/namc.2022.27.26575

Sihua Liang, Giovanni Molica Bisci, Binlin Zhang

引用次数: 1

摘要

本文研究了一类具有临界变指数的kirchhoff型变阶分数阶拉普拉斯问题。利用约束变分方法和定量变形引理证明了最小能量解的存在性，该最小能量解严格大于任意基态解的两倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents

In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of that of any ground state solution.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.