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Resonant singular problems with unbalanced growth

  • Eylem Öztürk

    Hacettepe University, Ankara, Turkey
    ORCID

  • Nikolaos S. Papageorgiou

    National Technical University, Athens, Greece; University of Craiova, Romania; Yulin Normal University, P. R. China
    ORCID
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Abstract

We consider a Dirichlet problem driven by a differential operator with unbalanced growth and a reaction exhibiting the combined effects of a parametric singular term and a resonant perturbation. Using a combination of variational tools and critical groups, we show that, for all small values of the parameter, the problem has at least two bounded positive solutions.

Cite this article

Eylem Öztürk, Nikolaos S. Papageorgiou, Resonant singular problems with unbalanced growth. Z. Anal. Anwend. (2026), published online first

DOI 10.4171/ZAA/1811