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.

引用

页码：3047 / 3074

页数：28

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