Existence of solutions for a class of Kirchhoff-type equations with indefinite potential

被引：1

作者：

Zhou, Jian ^{[1
]}

Wu, Yunshun ^{[1
]}

机构：

[1] Guizhou Nromal Univ, Sch Math Sci, Guiyang 550025, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Kirchhoff-type equation; Variational methods; Palais-Smale condition; Local linking; Morse theory; SIGN-CHANGING SOLUTIONS; HIGH-ENERGY SOLUTIONS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; MULTIPLICITY;

D O I：

10.1186/s13661-021-01550-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of solutions of the following Kirchhoff-type problem: {-(a + b integral(R3)vertical bar del u vertical bar(2)dx)Delta u + V(x)u = f(x, u), in R-3, u is an element of H-1(R-3), where a,b > 0 are constants, and the potential V(x) is indefinite in sign. Under some suitable assumptions on f, the existence of solutions is obtained by Morse theory.

引用

页数：13

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