TY - JOUR
T1 - On a p(x)-Kirchhoff-type Equation with Singular and Superlinear Nonlinearities
AU - Avci, Mustafa
N1 - Publisher Copyright:
© Foundation for Scientific Research and Technological Innovation 2024.
PY - 2024
Y1 - 2024
N2 - 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 positive solution for the case variable singularity β(x) assumes its values in the interval (1,∞), i.e., the case where β(x) causes a strong singularity.
AB - 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 positive solution for the case variable singularity β(x) assumes its values in the interval (1,∞), i.e., the case where β(x) causes a strong singularity.
KW - 35A15
KW - 35A21
KW - 35J65
KW - 35J75
KW - Constrained minimization
KW - Ekeland’s variational principle
KW - p(x)-Kirchhoff equation
KW - Strong Singularity
KW - Superlinear nonlinearity
UR - http://www.scopus.com/inward/record.url?scp=85204743765&partnerID=8YFLogxK
U2 - 10.1007/s12591-024-00702-0
DO - 10.1007/s12591-024-00702-0
M3 - Journal Article
AN - SCOPUS:85204743765
SN - 0971-3514
JO - Differential Equations and Dynamical Systems
JF - Differential Equations and Dynamical Systems
ER -