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.
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页数：23
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