Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti-Rabinowitz condition

被引：0

作者：

Pei, Ruichang ^{[1
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2022年 / 23卷 / 01期

关键词：

fractional Kirchhoff-type problems; mountain pass theorem; subcritical or critical exponential growth; without the (AR) condition; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; NONLOCAL OPERATORS; ELLIPTIC-EQUATIONS; EXISTENCE; LAPLACIAN;

D O I：

10.1515/ijnsns-2019-0171

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or critical exponential growth (subcritical polynomial growth) at infinity. However, it need not satisfy the Ambrosetti-Rabinowitz (AR) condition. Some existence results of nontrivial solutions are established via Mountain Pass Theorem combined with the fractional Moser-Trudinger inequality.

引用

页码：47 / 60

页数：14

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