MULTIPLICITY AND CONCENTRATION OF POSITIVE SOLUTIONS TO THE DOUBLE PHASE KIRCHHOFF TYPE PROBLEMS WITH CRITICAL GROWTH

被引：0
|
作者：
Yang, Jie [1 ]
Liu, Lintao [2 ]
Meng, Fengjuan [3 ]
机构：
[1] Huaihua Univ, Sch Math & Comp Sci, Huaihua 418008, Hunan, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[3] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 02期
基金：
中国国家自然科学基金;
关键词：
(p; q ) Kirchhoff type problems; concentration; Nehari manifold; Lusternik-Schnirelmann theory; critical growth; NONTRIVIAL SOLUTION; ELLIPTIC PROBLEMS; SUPERLINEAR (P; P-LAPLACIAN; EXISTENCE; EQUATIONS; Q)-LAPLACIAN; REGULARITY;
D O I：
10.12775/TMNA.2023.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. The aim of this paper is to study the multiplicity and concentration of positive solutions to the (p, q) Kirchhoff-type problems involving a positive potential and a continuous nonlinearity with critical growth at infinity. Applying penalization techniques, truncation methods and the Lusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the set where the potential V attains its minimum values.
引用
收藏
页码：481 / 513
页数：33
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