Existence results for a p(x)-Kirchhoff-type equation with double singularity

Mustafa Avci; Bilal Cekic; Zehra Yucedag

doi:10.1007/s41478-026-01115-8

Existence results for a p(x)-Kirchhoff-type equation with double singularity

Mustafa Avci
, Bilal Cekic
, Zehra Yucedag

Centre for Science

Dicle University

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

Abstract

The present paper deals with a p(x)-Kirchhoff-type equation involving double singularity. Applying the Ekeland’s variational principle and a constrained minimization approach, the existence and uniqueness of a positive solution is obtained.

Original language	English
Pages (from-to)	1475-1502
Number of pages	28
Journal	Journal of Analysis
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/s41478-026-01115-8
Publication status	Published - Jun 2026

Keywords

Constrained minimization
Ekeland’s variational principle
Hardy-type potential
Singular p(x)-Kirchhoff equation
Variable strong singularity

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10.1007/s41478-026-01115-8

Cite this

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title = "Existence results for a p(x)-Kirchhoff-type equation with double singularity",

abstract = "The present paper deals with a p(x)-Kirchhoff-type equation involving double singularity. Applying the Ekeland{\textquoteright}s variational principle and a constrained minimization approach, the existence and uniqueness of a positive solution is obtained.",

keywords = "Constrained minimization, Ekeland{\textquoteright}s variational principle, Hardy-type potential, Singular p(x)-Kirchhoff equation, Variable strong singularity",

author = "Mustafa Avci and Bilal Cekic and Zehra Yucedag",

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AU - Avci, Mustafa

AU - Cekic, Bilal

AU - Yucedag, Zehra

N1 - Publisher Copyright: © The Author(s), under exclusive licence to The Forum D’Analystes 2026.

PY - 2026/6

Y1 - 2026/6

N2 - The present paper deals with a p(x)-Kirchhoff-type equation involving double singularity. Applying the Ekeland’s variational principle and a constrained minimization approach, the existence and uniqueness of a positive solution is obtained.

AB - The present paper deals with a p(x)-Kirchhoff-type equation involving double singularity. Applying the Ekeland’s variational principle and a constrained minimization approach, the existence and uniqueness of a positive solution is obtained.

KW - Constrained minimization

KW - Ekeland’s variational principle

KW - Hardy-type potential

KW - Singular p(x)-Kirchhoff equation

KW - Variable strong singularity

UR - https://www.scopus.com/pages/publications/105041646994

U2 - 10.1007/s41478-026-01115-8

DO - 10.1007/s41478-026-01115-8

M3 - Journal Article

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SN - 0971-3611

VL - 34

SP - 1475

EP - 1502

JO - Journal of Analysis

JF - Journal of Analysis

IS - 3

ER -

Existence results for a p(x)-Kirchhoff-type equation with double singularity

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Keywords

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