On a nonlinear singular elliptic problem with ( <i>p</i> , <i>q</i> )-growth

We consider a nonlinear, nonhomogeneous singular elliptic problem with (p,q)-growth (unbalanced growth). Using a combination of variational tools with critical groups, we establish the existence of at least two bounded solutions.

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Publication Details

Journal
Bulletin of Mathematical Sciences
Published
2026-07-30
DOI
https://doi.org/10.1142/s1664360726500190
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

On a nonlinear singular elliptic problem with ( p , q )-growth

Nikolaos S. Papageorgiou, Siyan Guo
Bulletin of Mathematical Sciences
Nonlinear Partial Differential Equations
article

On a nonlinear singular elliptic problem with ( p , q )-growth

Nikolaos S. Papageorgiou, Siyan Guo
article en

Abstract

We consider a nonlinear, nonhomogeneous singular elliptic problem with (p,q)-growth (unbalanced growth). Using a combination of variational tools with critical groups, we establish the existence of at least two bounded solutions.

Bulletin of Mathematical Sciences
Openalex Percentile: Top 5%
Nonlinear Partial Differential Equations
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