MULTIPLICITY AND CONCENTRATION OF POSITIVE SOLUTIONS TO THE FRACTIONAL KIRCHHOFF TYPE PROBLEMS INVOLVING SIGN-CHANGING WEIGHT FUNCTIONS

被引：1
|
作者：
Yang, Jie [1 ,2 ]
Chen, Haibo [1 ]
机构：
[1] Cent South Univ, HNP LAMA, Sch Math & Stat, Changsha 410083, Peoples R China
[2] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418008, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Fractional Kirchhoff type problems; concentration; Nehari manifold; Ljusternik-Schnirelmann theory; critical growth; SCHRODINGER-EQUATION; ELLIPTIC PROBLEMS; NEHARI MANIFOLD; GROUND-STATES; EXISTENCE;
D O I：
10.3934/cpaa.2021096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions and concave-convex nonlinearities with subcritical or critical growth. Applying Nehari manifold, fibering maps and Ljusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the global maximum set of K.
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页码：3047 / 3074
页数：28
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