Infinitely many solutions for a Kirchhoff problem with a subcritical exponent

被引：1

作者：

Chen, Mengyao ^{[1
]}

Li, Qi ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Kirchhoff problem; Lyapunov-Schmidt reduction; Subcritical exponent; SCALAR FIELD-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; BEHAVIOR; STATES;

D O I：

10.1016/j.jmaa.2021.125772

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with the following Kirchhoff problem: - (a + b integral(RN )vertical bar del u vertical bar(2)) Delta u + u = K(x)vertical bar u vertical bar(p-1)u in R-N, (0.1) where a, b > 0, 1 < p < 2* - 1, 2* = , 2N/n - 2, and K(x) is a potential function. We prove that problem (0.1) has infinitely many solutions by using Lyapunov-Schmidt reduction. Our results extend and improve the results for the Schriidinger equation obtained by Badiale (2002) [3]. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：19

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