Anisotropic singular equation with (p→(·),q→(·))-Laplacian operator and Hardy-type potential

Mustafa Avci

doi:10.1007/s44426-025-00019-7

Anisotropic singular equation with (p→(·),q→(·))-Laplacian operator and Hardy-type potential

Mustafa Avci

Centre for Science

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

1 Citation (Scopus)

Abstract

This paper studies an anisotropic singular problem driven by (p→(·),q→(·))-Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland’s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.

Original language	English
Article number	18
Journal	Acta Universitatis Sapientiae, Mathematica
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s44426-025-00019-7
Publication status	Published - Dec. 2025

Keywords

(p→
Anisotropic variable Sobolev space
Constrained minimization
Ekeland’s variational principle
Hardy-type potential
Variable strong singularity
q→

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10.1007/s44426-025-00019-7

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title = "Anisotropic singular equation with (p→(·),q→(·))-Laplacian operator and Hardy-type potential",

abstract = "This paper studies an anisotropic singular problem driven by (p→(·),q→(·))-Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland{\textquoteright}s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.",

keywords = "(p→, Anisotropic variable Sobolev space, Constrained minimization, Ekeland{\textquoteright}s variational principle, Hardy-type potential, Variable strong singularity, q→",

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AU - Avci, Mustafa

N1 - Publisher Copyright: © The Author(s), under exclusive license to Sapientia Hungarian University of Transylvania 2025.

PY - 2025/12

Y1 - 2025/12

N2 - This paper studies an anisotropic singular problem driven by (p→(·),q→(·))-Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland’s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.

AB - This paper studies an anisotropic singular problem driven by (p→(·),q→(·))-Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland’s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.

KW - (p→

KW - Anisotropic variable Sobolev space

KW - Constrained minimization

KW - Ekeland’s variational principle

KW - Hardy-type potential

KW - Variable strong singularity

KW - q→

UR - https://www.scopus.com/pages/publications/105021419018

U2 - 10.1007/s44426-025-00019-7

DO - 10.1007/s44426-025-00019-7

M3 - Journal Article

AN - SCOPUS:105021419018

SN - 1844-6094

VL - 17

JO - Acta Universitatis Sapientiae, Mathematica

JF - Acta Universitatis Sapientiae, Mathematica

IS - 1

M1 - 18

ER -

Anisotropic singular equation with (p→(·),q→(·))-Laplacian operator and Hardy-type potential

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Keywords

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