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

页码：481 / 513

页数：33

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