TY - JOUR
T1 - Existence results for a class of singular p(x)-Kirchhoff equations
AU - Avci, Mustafa
N1 - Publisher Copyright:
© 2024 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2024
Y1 - 2024
N2 - In the present paper, we study a class of (Formula presented.) -Kirchhoff-type equations involving variable singularities. Using the Ekeland's variational principle, a constrained minimization and a global minimum method, we show the existence and uniqueness of positive solutions for the weak ((Formula presented.)) and strong ((Formula presented.)) variable singularities. We provide two applications to illustrate the main results.
AB - In the present paper, we study a class of (Formula presented.) -Kirchhoff-type equations involving variable singularities. Using the Ekeland's variational principle, a constrained minimization and a global minimum method, we show the existence and uniqueness of positive solutions for the weak ((Formula presented.)) and strong ((Formula presented.)) variable singularities. We provide two applications to illustrate the main results.
KW - constrained minimization
KW - convexity
KW - Ekeland's variational principle
KW - global minimizer
KW - p(x)-Kirchhoff equation
KW - strong–weak variable singularity
UR - http://www.scopus.com/inward/record.url?scp=85199421583&partnerID=8YFLogxK
U2 - 10.1080/17476933.2024.2378316
DO - 10.1080/17476933.2024.2378316
M3 - Journal Article
AN - SCOPUS:85199421583
SN - 1747-6933
JO - Complex Variables and Elliptic Equations
JF - Complex Variables and Elliptic Equations
ER -