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Zeitschrift für Analysis und ihre Anwendungen, vol.2026, no.1, pp.1-22, 2026 (Peer-Reviewed Journal)
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.