Existence results for a class of singular p(x)-Kirchhoff equations

Mustafa Avci

doi:10.1080/17476933.2024.2378316

Existence results for a class of singular p(x)-Kirchhoff equations

Mustafa Avci

Centre for Science

Research output: Contribution to journal › Journal Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1222-1253
Number of pages	32
Journal	Complex Variables and Elliptic Equations
Volume	70
Issue number	7
DOIs	https://doi.org/10.1080/17476933.2024.2378316
Publication status	Published - 2025

Keywords

Ekeland's variational principle
constrained minimization
convexity
global minimizer
p(x)-Kirchhoff equation
strong–weak variable singularity

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10.1080/17476933.2024.2378316

Cite this

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title = "Existence results for a class of singular p(x)-Kirchhoff equations",

abstract = "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.",

keywords = "Ekeland's variational principle, constrained minimization, convexity, global minimizer, p(x)-Kirchhoff equation, strong–weak variable singularity",

author = "Mustafa Avci",

note = "Publisher Copyright: {\textcopyright} 2024 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2025",

doi = "10.1080/17476933.2024.2378316",

language = "English",

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TY - JOUR

T1 - Existence results for a class of singular p(x)-Kirchhoff equations

AU - Avci, Mustafa

PY - 2025

Y1 - 2025

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 - Ekeland's variational principle

KW - constrained minimization

KW - convexity

KW - global minimizer

KW - p(x)-Kirchhoff equation

KW - strong–weak variable singularity

UR - https://www.scopus.com/pages/publications/85199421583

U2 - 10.1080/17476933.2024.2378316

DO - 10.1080/17476933.2024.2378316

M3 - Journal Article

AN - SCOPUS:85199421583

SN - 1747-6933

VL - 70

SP - 1222

EP - 1253

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 7

ER -

Existence results for a class of singular p(x)-Kirchhoff equations

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Keywords

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