On a p(x)-Kirchhoff-type Equation with Singular and Superlinear Nonlinearities

被引：1

作者：

Avci, Mustafa ^{[1
]}

机构：

[1] Athabasca Univ, Fac Sci & Technol, Appl Math, 1 Univ Dr, Athabasca, AB T9S 3A3, Canada

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年

基金：

芬兰科学院;

关键词：

p(x)-Kirchhoff equation; Ekeland's variational principle; Constrained minimization; Strong Singularity; Superlinear nonlinearity; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; VARIABLE EXPONENT; ELLIPTIC PROBLEMS; MULTIPLICITY; EXISTENCE; SPACES;

D O I：

10.1007/s12591-024-00702-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study a p(x)-Kirchhoff-type equation with combined effects of variable singular and superlinear nonlinearities. Using the Ekeland's variational principle and a constrained minimization approach, we show the existence and uniqueness of a posi-tive solution for the case variable singularity beta(x) assumes its values in the interval (1,infinity) , i.e., the case where beta(x) causes a strong singularity.

引用

页数：23

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