TY - JOUR
T1 - On a p(x)-Kirchhoff Problem with Variable Singular and Sublinear Exponents
AU - Avci, Mustafa
N1 - Publisher Copyright:
© 2025, Mathematical Society of the Rep. of China. All rights reserved.
PY - 2025/4
Y1 - 2025/4
N2 - In the present paper, we study a singular p(x)-Kirchhoff equation with combined effects of variable singular, β(x), and sublinear, q(x), nonlinearities. Using the Ekeland’s variational principle and a constrained minimization, we show the existence of a positive solution for the case variable singularity β(x) assumes its values in the interval (1, ∞). We provide an example to illustrate our results.
AB - In the present paper, we study a singular p(x)-Kirchhoff equation with combined effects of variable singular, β(x), and sublinear, q(x), nonlinearities. Using the Ekeland’s variational principle and a constrained minimization, we show the existence of a positive solution for the case variable singularity β(x) assumes its values in the interval (1, ∞). We provide an example to illustrate our results.
KW - Ekeland’s variational principle
KW - p(x)-Kirchhoff equation
KW - strong singularity
KW - sub-linear nonlinearity
UR - http://www.scopus.com/inward/record.url?scp=105003926064&partnerID=8YFLogxK
U2 - 10.11650/tjm/240904
DO - 10.11650/tjm/240904
M3 - Journal Article
AN - SCOPUS:105003926064
SN - 1027-5487
VL - 29
SP - 379
EP - 402
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
IS - 2
ER -