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

被引：4
|
作者：
Liang, Sihua [1 ]
Bisci, Giovanni Molica [2 ]
Zhang, Binlin [3 ]
机构：
[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China
[2] Univ Urbino Carlo Bo, Dipartimento Sci Pure & Applicate DiSPeA, I-61029 Urbino, Italy
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 26590, Peoples R China
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2022年 / 27卷 / 03期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Kirchhoff-type problem; variable-order fractional Laplacian; variational method; signchanging solution; NODAL SOLUTIONS; EQUATIONS; SPACES;
D O I：
10.15388/namc.2022.27.26575
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：556 / 575
页数：20
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