1/2-Laplacian problem with logarithmic and exponential nonlinearities

被引：4

作者：

Chen, Zigao ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2023年 / 37期

关键词：

1/2-Laplacian operator; logarithmic nonlinearity; exponential nonlinearity; sign-changing solutions; EQUATIONS;

D O I：

10.14232/ejqtde.2023.1.37

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on a suitable fractional Trudinger--Moser inequality, we establish sufficient conditions for the existence result of least energy sign-changing solution for a class of one-dimensional nonlocal equations involving logarithmic and exponential nonlinearities. By using a main tool of constrained minimization in Ne-hari manifold and a quantitative deformation lemma, we consider both subcritical and critical exponential growths. This work can be regarded as the complement for some results of the literature.

引用

页码：1 / 19

页数：19

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