EXISTENCE OF CONSTANT SIGN AND NODAL SOLUTIONS FOR A CLASS OF (p, q)-LAPLACIAN-KIRCHHOFF PROBLEMS

被引：2

作者：

Yang, Jie ^{[1
]}

Chen, Haibo ^{[2
]}

机构：

[1] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418008, Peoples R China

[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 03期

基金：

中国国家自然科学基金;

关键词：

p-q)-Laplacian; Kirchhoff type equation; Nodal solution; Nehari manifold; KIRCHHOFF-TYPE PROBLEM; P-LAPLACIAN; POSITIVE SOLUTIONS; CONCENTRATION BEHAVIOR; NONTRIVIAL SOLUTION; ELLIPTIC-EQUATIONS; CHANGING SOLUTIONS; CRITICAL GROWTH; SUPERLINEAR (P; MULTIPLICITY;

D O I：

10.23952/jnva.7.2023.3.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is dedicated to studying a (p, q)-Laplacian-Kirchhoff type equation. We prove the existence of three bounded solutions (one positive, one negative, and one nodal with precisely two nodal domains) by applying the Nehari manifold along with a quantitative deformation lemma and truncation technique.

引用

页码：345 / 365

页数：21

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