Solutions of a double phase singular Kirchhoff type equation with nonstandard growth

Abdolrahman Razani; Mustafa Avci

doi:10.2298/FIL2609239R

Solutions of a double phase singular Kirchhoff type equation with nonstandard growth

Abdolrahman Razani
, Mustafa Avci

Centre for Science

Imam Khomeini International University

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

Abstract

A specific category of singular class of double phase Kirchhoff type equations characterized by variable singularities is studied. By employing variational method, we prove both the uniqueness and existence of positive solutions for cases of weak variable singularities, where singularity η lies within the interval (0, 1), as well as for strong variable singularities, where η exceeds 1. Additionally, we present an application from composite materials.

Original language	English
Pages (from-to)	3239-3254
Number of pages	16
Journal	Filomat
Volume	40
Issue number	9
DOIs	https://doi.org/10.2298/FIL2609239R
Publication status	Published - 2026

Keywords

Double phase operator
constrained minimization
global minimizer
nonstandard growth
strong-weak variable singularity

Access to Document

10.2298/FIL2609239R

Cite this

@article{b0d6d3188c49401bbb9c6f03a3c65df2,

title = "Solutions of a double phase singular Kirchhoff type equation with nonstandard growth",

abstract = "A specific category of singular class of double phase Kirchhoff type equations characterized by variable singularities is studied. By employing variational method, we prove both the uniqueness and existence of positive solutions for cases of weak variable singularities, where singularity η lies within the interval (0, 1), as well as for strong variable singularities, where η exceeds 1. Additionally, we present an application from composite materials.",

keywords = "Double phase operator, constrained minimization, global minimizer, nonstandard growth, strong-weak variable singularity",

author = "Abdolrahman Razani and Mustafa Avci",

year = "2026",

doi = "10.2298/FIL2609239R",

language = "English",

volume = "40",

pages = "3239--3254",

number = "9",

}

TY - JOUR

T1 - Solutions of a double phase singular Kirchhoff type equation with nonstandard growth

AU - Razani, Abdolrahman

AU - Avci, Mustafa

PY - 2026

Y1 - 2026

N2 - A specific category of singular class of double phase Kirchhoff type equations characterized by variable singularities is studied. By employing variational method, we prove both the uniqueness and existence of positive solutions for cases of weak variable singularities, where singularity η lies within the interval (0, 1), as well as for strong variable singularities, where η exceeds 1. Additionally, we present an application from composite materials.

AB - A specific category of singular class of double phase Kirchhoff type equations characterized by variable singularities is studied. By employing variational method, we prove both the uniqueness and existence of positive solutions for cases of weak variable singularities, where singularity η lies within the interval (0, 1), as well as for strong variable singularities, where η exceeds 1. Additionally, we present an application from composite materials.

KW - Double phase operator

KW - constrained minimization

KW - global minimizer

KW - nonstandard growth

KW - strong-weak variable singularity

UR - https://www.scopus.com/pages/publications/105036641100

U2 - 10.2298/FIL2609239R

DO - 10.2298/FIL2609239R

M3 - Journal Article

AN - SCOPUS:105036641100

SN - 0354-5180

VL - 40

SP - 3239

EP - 3254

JO - Filomat

JF - Filomat

IS - 9

ER -

Solutions of a double phase singular Kirchhoff type equation with nonstandard growth

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this