Resonant singular problems with unbalanced growth

Öztürk E., Papageorgiou N. S.

Zeitschrift für Analysis und ihre Anwendungen, cilt.2026, sa.1, ss.1-22, 2026 (Hakemli Dergi)

Özet

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.